Question

Calc Help! Let F(x)=f(f(x)) and G(x)=(F(x))^2 and suppose that f(9)=8, f(8)=3, f'(8)=10 and f'(9)=12

Answer 1

question?

Answer 2

Oh sorry! F'(9)=
G'(9)=

Answer 3

If F(x)=f(f(x)), by the chain rule, can you find F'(x)?

Answer 4

I tried 8(f(9)*f'(8)*f'(9) but didn't get the correct answer from that

Answer 5

@Bobo-i-bo please, finish your stuff.

Answer 6

\(F(x) = f(f(x))\\F'(x) = f'(f(x) )*f'(x)\)
Now, replace 9 in
\(F'(9) =f'((f(9))*f'(9)\)

Answer 7

\(f'(9) = 12\) ok for the last one
for the first one \(f'(f(9))=f'(8)=10\)
Can you finish?

Answer 8

Don't get?

Answer 9

yes I got 120 which is correct! Thank you

Answer 10

good

Answer 11

Do the same for G, apply chain rule