Question

Let F(x)= f(f(x)) and G(x)=(F(x))^2. You also know that f(4)=3, f(3)=3, f'(3)=14, f'(4)=3. Find F'(4) and G'(4).

Answer 1

Use the chain rule: \[
F'(x) = f'(f(x))\cdot f'(x) \\
G'(x) = 2F(x) \cdot F'(x) = 2f(f(x)) \cdot f'(f(x)) \cdot f'(x)
\]

Answer 2

@youngbuck2123 got the idea?

Answer 3

I think so, when computed do you come up with 252 as the answer??

Answer 4

I don't know the answer cause I haven't done it. If you show your work I can check it though.

Answer 5

answer came out correct, thanks for your help