Problem Statement

{3,5,7,9}
{2,4,6,8}
7*6

Compute the derivative of (f º g) if

f(u) = 7·u+1, g(x) = sin(6·x)

 
Step 1

Question Sequence

Question 1

Recall the chain rule for differentiating (f º g)(x):

(f º g)'(x) =(f(g(x)))' = (g(x))·

Correct.
Incorrect.

 
Step 2

In order to substitute appropriately into the chain rule to compute,

(f º g)'(x) = (f(g(x)))' = f'(g(x))g'(x),

we need to find f'(g(x)), which is f'(u) evaluated at g(x) = sin(6·x).

Question Sequence

Question 3

f(u) = 7·u+1

f'(u) =

Correct.
Incorrect.

 
Step 3

Question 6

Applying the chain rule, find the derivative of (f º g) where

f(u) = 7·u+1 and g(x) = sin(6·x)

with

f'(g(x)) = 7 and g'(x) = 6·cos(6·x).

(f º g)'(x) = f'(g(x))g'(x) = ·cos(·x)

Correct.
Incorrect.