Let F(x) = f(f(x)), G(x) = F(x)^2, f(4) = 11, f(11) = 3, f'(

[Blikus]

Let F(x) = f(f(x)) and G(x) = F(x)^2.

Also let f(4) = 11, f(11) = 3, f'(11) = 14, f'(4) = 13.

Find F'(4) and G'(4)

Any help guys?

Edit: Thank you so much!

 

[stapel]

If F(x) = f(f(x)) then, by the Chain Rule, F'(x) = f'(f(x)) f'(x).

If G(x) = [F(x)]² then, by the Chain Rule, G'(x) = 2[F(x)][F'(x)].

Apply the formulas and plug in the values.

Eliz.