Question 1

Find the directional derivative of  at the point (1, 3) in the direction toward the point (3, 1).Select the correct Answer
A) 
B) 
C) 
D)28
E)none of these

Accepted Answer

1930.0

Question 2

Use implicit differentiation to find

Accepted Answer

The answer of Use implicit differentiation to find  ...

Question 3

Find the indicated partial derivative.

Accepted Answer

The answer of Find the indicated partial derivative. ...

Question 4

Find the gradient of the function

Accepted Answer

The answer of Find the gradient of the function ...

Question 5

Find the equation of the normal line to the given surface at the specified point.

Accepted Answer

The answer of Find the equation of the normal line...

Question 6

Find  Select the correct Answer
A) 
B) 
C) 
D) 
E)0

Accepted Answer

1923.0

Question 7

At what point is the following function a local maximum?

Accepted Answer

The answer of At what point is the following function...

Question 8

At what point is the following function a local minimum?  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1936.0

Question 9

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

Accepted Answer

1928.0

Question 10

Use implicit differentiation to find

Accepted Answer

The answer of Use implicit differentiation to find  ...

Question 11

Find the dimensions of the rectangular box with largest volume if the total surface area is given as

Accepted Answer

The answer of Find the dimensions of the rectangular box...

Question 12

Find the maximum rate of change of  at the point  In what direction does it occur?

Accepted Answer

The answer of Find the maximum rate of change of...

Question 13

Use the Chain Rule to find

Accepted Answer

The answer of Use the Chain Rule to find ...

Question 14

Find the directional derivative of the function  at the point  in the direction of the unit vector that makes the angle  ith the positive x-axis.Select the correct Answer
A) 
B)13
C)1
D)

Accepted Answer

1932.0

Question 15

Find  for the function  Select the correct Answer
A) 
B) 
C) 
D)

Accepted Answer

1927.0

Question 16

If  use the gradient vector  to find the tangent line to the level curve  at the point

Accepted Answer

The answer of If  use the gradient vector ...

Question 17

Find the shortest distance from the point  to the plane  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1940.0

Question 18

Find the points on the surface  that are closest to the origin.Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1938.0

Quiz 14: Partial Derivatives

Find the directional derivative of at the point (1, 3) in the direction toward the point (3, 1) .Select the correct Answer

Use implicit differentiation to find

Find the indicated partial derivative.

Find the gradient of the function

Find the equation of the normal line to the given surface at the specified point.

Find Select the correct Answer

At what point is the following function a local maximum?

At what point is the following function a local minimum? Select the correct Answer

Find the differential of the function Select the correct Answer

Use implicit differentiation to find

Find the dimensions of the rectangular box with largest volume if the total surface area is given as

Find the maximum rate of change of at the point In what direction does it occur?

Use the Chain Rule to find

Find the directional derivative of the function at the point in the direction of the unit vector that makes the angle ith the positive x-axis.Select the correct Answer

Find for the function Select the correct Answer

If use the gradient vector to find the tangent line to the level curve at the point

Find the shortest distance from the point to the plane Select the correct Answer

Find the points on the surface that are closest to the origin.Select the correct Answer