Question

Let h(x)=f(g(x)) and p(x)=g(f(x)). Use the table below to compute the following derivatives.

a.h'(3)
b. p'(2)

Anybody here have any remote idea on how to solve this problem?

Answer 1

Here's the chart

Answer 2

\[h(x)=f(g(x))\] by the chain rule
\[h'(x)=f'(g(x))\times g'(x)\] and so
\[h'(3)=f'(g(3))\times g'(3)\]
substitute the numbers you know to get what you want

Answer 3

clear or no?

Answer 4

Yes, thank you!

Answer 5

yw