If F(x) = f(g(x)) where f(-2)=8 f'2(-2)=4 f'(5)=3 g(5)=-2 and g'(5)=6 find F'(5) I know there is a chain rule in here somewhere, I am confused on how to start this.

Question

If F(x) = f(g(x)) where f(-2)=8 f'2(-2)=4 f'(5)=3 g(5)=-2 and g'(5)=6 find F'(5)  I know there is a chain rule in here somewhere,  I am confused on how to start this.

anonymous · Answer

f(-2)=8,  f'2(-2)=4 , f'(5)=3,  g(5)=-2 and g'(5)=6

What do you mean by f'2(-2)=4?

laddiusmaximus · Answer

sorry typo. its f'(-2)=4

anonymous · Answer

F(x)= f(g(x)) 
F'(x)= f'(g(x)) * g'(x)
F'(5)= f'(g(5)) * g'(5)
      = f'(-2) * 6
      = 4*6 =24 . Is the answer correct? a bit rusty on this front