Deck 11: Extension C: Partial Derivatives

Question 1

Find the differential of the function.

Answer 1

Question 2

Use implicit differentiation to find

A)
B)
C)
D)

Answer 2

Question 3

How many nth-order partial derivatives does a function of two variables have?

A)
B)
C)
D)
E)

Answer 3

Question 4

Find all the second partial derivatives.

Question 5

Find the first partial derivatives of the function

Question 6

The ellipsoid intersects the plane in an ellipse.Find parametric equations for the tangent line to this ellipse at the point (1,2,2).

A)
B)
C)
D)
E)

Question 7

Find the first partial derivatives of the function.

Question 8

Find for the function

A)
B)
C)
D)
E)

Question 9

Use partial derivatives to find the implicit derivative

Question 10

Find for

Question 11

Find the indicated partial derivative.

A)
B)
C)
D)
E)

Question 12

Find

Question 13

Find the indicated partial derivative.

A)
B)
C)
D)
E)

Question 14

Use implicit differentiation to find

A)
B)
C)
D)

Question 15

Use the definition of partial derivatives as limits to find if

A)
B)
C)
D)
E)

Question 16

If R is the total resistance of three resistors,connected in parallel,with resistances ,then If the resistances are measured in ohms as ,with a possible error of 0.8% in each case,estimate the maximum error in the calculated value of R.

A) 0.291
B) 0.476
C) 0.347
D) 0.957
E) 0.098

Question 17

Find for the function

A)
B)
C)
D)