Deck 3: Section 1 : Differentiation

ملء الشاشة (f)
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سؤال
Describe the x-values at which the graph of the function <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> given below is differentiable. <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px>

A) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> is differentiable at <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> .
B) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> is differentiable everywhere except at <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> .
C) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> is differentiable everywhere except at <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> .
D) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> is differentiable on the interval <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> .
E) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> is differentiable on the interval <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . <div style=padding-top: 35px> .
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سؤال
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the function <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by the limit process.

A) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function   by the limit process.</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   .</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   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</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   .</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   .</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   .</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   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the alternative form of the derivative to find the derivative of the function <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)   <div style=padding-top: 35px>

A) -4
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the alternative form of the derivative to find the derivative of the function <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the slope <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> of the line tangent to the graph of the function <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the point <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The graph of the function f is given below. Select the graph of <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find an equation of the line that is tangent to the graph of <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px> and parallel to the given line. <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px>

A) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px>
B) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px>
C) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px> and <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px>
D) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px>
E) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px> and <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   <div style=padding-top: 35px>
سؤال
Find the derivative of the function <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by the limit process.

A) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function   by the limit process.</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   .</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   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</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   .</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   .</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   .</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   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the following function <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> using the limiting process.

A) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the function <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by the limit process.

A) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the slope <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> of the line tangent to the graph of the function <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> at the point <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find an equation of the line that is tangent to the graph of the function <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and parallel to the line <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the derivative of the function <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> using the limiting process.

A) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find an equation of the line that is tangent to the graph of the function <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and parallel to the line <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 3: Section 1 : Differentiation
1
Describe the x-values at which the graph of the function <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . given below is differentiable. <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   .

A) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . is differentiable at <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . .
B) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . is differentiable everywhere except at <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . .
C) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . is differentiable everywhere except at <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . .
D) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . is differentiable on the interval <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . .
E) <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . is differentiable on the interval <strong>Describe the x-values at which the graph of the function   given below is differentiable.  </strong> A)   is differentiable at   . B)   is differentiable everywhere except at   . C)   is differentiable everywhere except at   . D)   is differentiable on the interval   . E)   is differentiable on the interval   . .
  is differentiable everywhere except at   . is differentiable everywhere except at   is differentiable everywhere except at   . .
2
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
3
Find the derivative of the function <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   by the limit process.

A) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
4
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   .</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   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
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5
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
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6
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A)   B)   C)   D)   E)
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7
Use the alternative form of the derivative to find the derivative of the function <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   at <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
B) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
C) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
D) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
E) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
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8
Find the derivative of the following function using the limiting process. <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)

A) -4
B) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)
C) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)
D) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)
E) <strong>Find the derivative of the following function using the limiting process.  </strong> A) -4 B)   C)   D)   E)
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9
Use the alternative form of the derivative to find the derivative of the function <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   at <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
B) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
C) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
D) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
E) <strong>Use the alternative form of the derivative to find the derivative of the function   at   .</strong> A)   B)   C)   D)   E)
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10
Find the slope <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   of the line tangent to the graph of the function <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   at the point <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
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11
The graph of the function f is given below. Select the graph of <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)   . <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)

A) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)
B) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)
C) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)
D) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)
E) <strong>The graph of the function f is given below. Select the graph of   .  </strong> A)   B)   C)   D)   E)
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12
Find an equation of the line that is tangent to the graph of <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   and parallel to the given line. <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and

A) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and
B) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and
C) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   and <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and
D) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and
E) <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and   and <strong>Find an equation of the line that is tangent to the graph of   and parallel to the given line.  </strong> A)   B)   C)   and   D)   E)   and
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13
Find the derivative of the function <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   by the limit process.

A) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
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14
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   .</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   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Find an equation of the tangent line to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
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15
Find the derivative of the following function <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)   using the limiting process.

A) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the following function   using the limiting process.</strong> A)   B)   C)   D)   E)
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16
Find the derivative of the function <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)   by the limit process.

A) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function   by the limit process.</strong> A)   B)   C)   D)   E)
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17
Find the slope <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   of the line tangent to the graph of the function <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   at the point <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the slope   of the line tangent to the graph of the function   at the point   .</strong> A)   B)   C)   D)   E)
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18
Find an equation of the line that is tangent to the graph of the function <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   and parallel to the line <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
B) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
C) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
D) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
E) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
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Find the derivative of the function <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)   using the limiting process.

A) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)
B) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)
C) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)
D) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)
E) <strong>Find the derivative of the function   using the limiting process.</strong> A)   B)   C)   D)   E)
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Find an equation of the line that is tangent to the graph of the function <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   and parallel to the line <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
B) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
C) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
D) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
E) <strong>Find an equation of the line that is tangent to the graph of the function   and parallel to the line   .</strong> A)   B)   C)   D)   E)
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