Deck 3: Section 5: Differentiation

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سؤال
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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سؤال
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use implicit differentiation to find an equation of the tangent line to the ellipse <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation given that <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Use the original equation to simplify your answer.

A) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the slope of the tangent line <strong>Find the slope of the tangent line   at the given point   . Round your answer to two decimal places.</strong> A) 0.67 B) 2.00 C) 1.00 D) 1.67 E) 3.00 <div style=padding-top: 35px> at the given point <strong>Find the slope of the tangent line   at the given point   . Round your answer to two decimal places.</strong> A) 0.67 B) 2.00 C) 1.00 D) 1.67 E) 3.00 <div style=padding-top: 35px> . Round your answer to two decimal places.

A) 0.67
B) 2.00
C) 1.00
D) 1.67
E) 3.00
سؤال
Evaluate <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> for the equation <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the given point <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round your answer to two decimal places.

A) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use implicit differentiation to find <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> for the equation <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the given point <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round your answer to two decimal places.

A) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation given that <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find an equation of the tangent line to the graph of the function given below at the given point. <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> (The coefficients below are given to two decimal places.)

A) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find an equation of the tangent line to the graph of the function <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the point <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .The coefficients below are given to two decimal places.

A) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use implicit differentiation to find <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by implicit differentiation given that <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> for the equation <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the given point <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Round your answer to two decimal places.

A) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use implicit differentiation to find <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use implicit differentiation to find <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the point <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Differentiate <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with respect to t (x and y are functions of t).

A) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the points at which the graph of the equation has a vertical or horizontal tangent line. <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px>

A) There is a vertical tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px> but no horizontal tangents.
B) There is a horizontal tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px> and a vertical tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px> .
C) There is a horizontal tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px> but no vertical tangents.
D) There is a horizontal tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px> and a vertical tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. <div style=padding-top: 35px> .
E) There are no horizontal or vertical tangent lines.
سؤال
Find <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in terms of x and y. <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in terms of x and y. <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use logarithmic differentiation to find <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use logarithmic differentiation to find the derivative of <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in terms of x and y given that <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Use the original equation to simplify your answer.

A) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use logarithmic differentiation to find <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> in terms of x and y given that <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Differentiate <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with respect to t (x and y are functions of t).

A) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 3: Section 5: Differentiation
1
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
2
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
3
Use implicit differentiation to find an equation of the tangent line to the ellipse <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   at <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)
B) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)
C) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)
D) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)
E) <strong>Use implicit differentiation to find an equation of the tangent line to the ellipse   at   .</strong> A)   B)   C)   D)   E)
4
Find <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   by implicit differentiation given that <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   . Use the original equation to simplify your answer.

A) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
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5
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
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6
Find the slope of the tangent line <strong>Find the slope of the tangent line   at the given point   . Round your answer to two decimal places.</strong> A) 0.67 B) 2.00 C) 1.00 D) 1.67 E) 3.00 at the given point <strong>Find the slope of the tangent line   at the given point   . Round your answer to two decimal places.</strong> A) 0.67 B) 2.00 C) 1.00 D) 1.67 E) 3.00 . Round your answer to two decimal places.

A) 0.67
B) 2.00
C) 1.00
D) 1.67
E) 3.00
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7
Evaluate <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   for the equation <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   at the given point <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   . Round your answer to two decimal places.

A) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
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8
Use implicit differentiation to find <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)   <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)

A) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)
B) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)
C) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)
D) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)
E) <strong>Use implicit differentiation to find    </strong> A)   B)   C)   D)   E)
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9
Evaluate <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   for the equation <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   at the given point <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   . Round your answer to two decimal places.

A) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
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10
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
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11
Find <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   by implicit differentiation given that <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
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12
Find an equation of the tangent line to the graph of the function given below at the given point. <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)   (The coefficients below are given to two decimal places.)

A) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)
B) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)
C) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)
D) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)
E) <strong>Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.)</strong> A)   B)   C)   D)   E)
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13
Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
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Find an equation of the tangent line to the graph of the function <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   at the point <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)   .The coefficients below are given to two decimal places.

A) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places.</strong> A)   B)   C)   D)   E)
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Use implicit differentiation to find <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   . <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
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Find <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)   by implicit differentiation. <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation.  </strong> A)   B)   C)   D)   E)
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17
Find <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   by implicit differentiation given that <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
B) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
C) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
D) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
E) <strong>Find   by implicit differentiation given that   .</strong> A)   B)   C)   D)   E)
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18
Evaluate <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   for the equation <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   at the given point <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)   . Round your answer to two decimal places.

A) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
B) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
C) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
D) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
E) <strong>Evaluate   for the equation   at the given point   . Round your answer to two decimal places.</strong> A)   B)   C)   D)   E)
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19
Use implicit differentiation to find <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)   . <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use implicit differentiation to find   .  </strong> A)   B)   C)   D)   E)
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20
Use implicit differentiation to find <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   at the point <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)   . <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use implicit differentiation to find   at the point   .  </strong> A)   B)   C)   D)   E)
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21
Differentiate <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   with respect to t (x and y are functions of t).

A) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
B) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
C) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
D) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
E) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
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22
Find the points at which the graph of the equation has a vertical or horizontal tangent line. <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines.

A) There is a vertical tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. but no horizontal tangents.
B) There is a horizontal tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. and a vertical tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. .
C) There is a horizontal tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. but no vertical tangents.
D) There is a horizontal tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. and a vertical tangent at <strong>Find the points at which the graph of the equation has a vertical or horizontal tangent line.  </strong> A) There is a vertical tangent at   but no horizontal tangents. B) There is a horizontal tangent at   and a vertical tangent at   . C) There is a horizontal tangent at   but no vertical tangents. D) There is a horizontal tangent at   and a vertical tangent at   . E) There are no horizontal or vertical tangent lines. .
E) There are no horizontal or vertical tangent lines.
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23
Find <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   in terms of x and y. <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
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24
Find <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)   in terms of x and y. <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)

A) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
B) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
C) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
D) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
E) <strong>Find   in terms of x and y.  </strong> A)   B)   C)   D)   E)
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25
Use logarithmic differentiation to find <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   . <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
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26
Use logarithmic differentiation to find the derivative of <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)
B) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)
C) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)
D) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)
E) <strong>Use logarithmic differentiation to find the derivative of   .</strong> A)   B)   C)   D)   E)
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27
Find <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   in terms of x and y given that <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)   . Use the original equation to simplify your answer.

A) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
B) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
C) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
D) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
E) <strong>Find   in terms of x and y given that   . Use the original equation to simplify your answer.</strong> A)   B)   C)   D)   E)
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28
Use logarithmic differentiation to find <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)   . <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use logarithmic differentiation to find   .  </strong> A)   B)   C)   D)   E)
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29
Find <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)   in terms of x and y given that <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)

A) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)
B) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)
C) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)
D) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)
E) <strong>Find   in terms of x and y given that  </strong> A)   B)   C)   D)   E)
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30
Differentiate <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)   with respect to t (x and y are functions of t).

A) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
B) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
C) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
D) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
E) <strong>Differentiate   with respect to t (x and y are functions of t).</strong> A)   B)   C)   D)   E)
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