Question 1

Find the derivative of the function.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1075.0

Question 2

Determine the values of  for which the given linear approximation is accurate to within 0.07 at

Accepted Answer

The answer of Determine the values of  for which...

Question 3

Find the value of the expression accurate to four decimal places.

Accepted Answer

The answer of Find the value of the expression accurate...

Question 4

in terms of x and y.

Accepted Answer

The answer of  in terms of x and y....

Question 5

Two sides of a triangle are  and  in length and the angle between them is increasing at a rate of  Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1085.0

Question 6

Use implicit differentiation to find an equation of the tangent line to the curve at the indicated point.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1079.0

Question 7

Find the point(s) on the graph of  where the tangent line is horizontal.

Accepted Answer

The answer of Find the point(s) on the graph of...

Question 8

The mass of the part of a metal rod that lies between its left end and a point x meters to the right is  Find the linear density when  is  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1083.0

Question 9

Differentiate the function.

Accepted Answer

The answer of Differentiate the function. ...

Question 10

If  is a differentiable function of  and  then  Use this to find the derivative of the following function.

Accepted Answer

The answer of If  is a differentiable function of...

Question 11

A car leaves an intersection traveling west.Its position 4 sec later is 26 ft from the intersection.At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 20 ft from the intersection.If the speeds of the cars at that instant of time are 8 ft/sec and 12 ft/sec, respectively, find the rate at which the distance between the two cars is changing.Round to the nearest tenth if necessary.Select the correct Answer
A)13.7 ft/sec
B)2.7 ft/sec
C)4.1 ft/sec
D)32.8 ft/sec

Accepted Answer

1087.0

Question 12

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 13

Find an equation of the line tangent to the graph of  at the point where  Select the correct Answer
A) 
B) 
C) 
D)

Accepted Answer

1074.0

Question 14

Find the derivative of the function.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1091.0

Question 15

A point moves along the curve  When the point is  at its x-coordinate is increasing at the rate of 2 units per second.How fast is its y-coordinate changing at that instant of time?

Accepted Answer

The answer of A point moves along the curve ...

Question 16

has a half-life of  A sample has a mass of  initially.Find the mass remaining after 48 days.

Accepted Answer

The answer of  has a half-life of  A...

Question 17

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 18

Find the second derivative of the function.

Accepted Answer

The answer of Find the second derivative of the function....

Question 19

Differentiate the function.

Accepted Answer

The answer of Differentiate the function. ...

Question 20

Find the differential of the function at the indicated number.

Accepted Answer

The answer of Find the differential of the function at...

Quiz 3: Differentiation Rules

Find the derivative of the function.Select the correct Answer

Determine the values of for which the given linear approximation is accurate to within 0.07 at

Find the value of the expression accurate to four decimal places.

in terms of x and y.

Two sides of a triangle are and in length and the angle between them is increasing at a rate of Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is Select the correct Answer

Use implicit differentiation to find an equation of the tangent line to the curve at the indicated point.Select the correct Answer

Find the point(s) on the graph of where the tangent line is horizontal.

The mass of the part of a metal rod that lies between its left end and a point x meters to the right is Find the linear density when is Select the correct Answer

Differentiate the function.

If is a differentiable function of and then Use this to find the derivative of the following function.

Find the derivative of the function.

Find an equation of the line tangent to the graph of at the point where Select the correct Answer

Find the derivative of the function.Select the correct Answer

A point moves along the curve When the point is at its x-coordinate is increasing at the rate of 2 units per second.How fast is its y-coordinate changing at that instant of time?

has a half-life of A sample has a mass of initially.Find the mass remaining after 48 days.

Find the derivative of the function.

Find the second derivative of the function.

Differentiate the function.

Find the differential of the function at the indicated number.