How to Find h’(4)?

Question

hx=f(g(x))

I know that f(2)=2, f’(2)=3, f’(-1)=5, g(4)=2, g’(4)= -1.

Find h’(4) . Thanks in andvace

Answer 1

h'(x) = f'(g(x))(g'(x))

That's the chain rule

then plug in 4 for x to get

h'(4) = f'(g(4))(g'(4)) = f'(2)(-1) = 3(-1) = -3

seems about right. except that doesn't use f'(-1)= 5

my guess is they threw that in to confuse you

f'(g(4) = f'(2) since g(4)= 2