If F(x) = f(f(x)), find F '(3). If f(1)=3, f(2)=1, f(3)=2, f'(1)=34, f'(2)=5, f'(3)=7

Answer 1

you are going to need to use the chain rule to solve this equation:

F'(x)=f'(f(x)) * f'(x)

now that we have our derivative, we just have to solve

F'(3)=f'(f(3)) * f'(3) = f'(2) * 7 = 5*7=35