calc_tutorial_14_3_022

 
Problem Statement

{5,6,7}
{2,3,4}
2*6*3
2*6

Compute the partial derivatives.

 
Step 1

Since z is a function of only u and v, the first-order partial derivatives we desire are ∂z / ∂u and ∂z / ∂v.

Question Sequence

Question 1

Since z is a composition of functions, these derivatives will require the rule.

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

Compute ∂z / ∂u by holding constant.

∂z / ∂u = (∂ / ∂u)6 sin(3u2v) = 6 cos(3u2v)(∂ / ∂u)(3u2v) =

A.
B.
C.
D.
Incorrect. Do you see where you went wrong?
Excellent work.

 
Step 3

Question Sequence

Question 3

Compute ∂z / ∂v by holding constant.

∂z / ∂v = (∂ / ∂v)6 sin(3u2v) = 6 cos(3u2v)(∂ / ∂v)(3u2v) =

A.
B.
C.
D.
Incorrect. Do you see where you went wrong?
Excellent work.