differetiable functions ??? confused

[lorienguyen]

the questions is let f and g be differentiable functions such that
f(1)=4, g(1)=3, f'(3)=-5
f'(1)=-4, g(1)=-3, g'(3)=2

if h(x)=f(g(x)), then h'(1)=????

i am completely lost on what i am suppose to do to figure out this problem.

 

[Unco]

G'day, lorienguyen.

f(1)=4, g(1)=3, f'(3)=-5
f'(1)=-4, g'(1)=-3, g'(3)=2

if h(x)=f(g(x)), then h'(1)=?

Are you familiar with the chain rule:

. . . If h(x) = f(g(x)),

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

. . . h'(1) means to substitute x for 1:

. . . . . h'(1) = f'(g(1)) . g'(1)

Use the given information to simplify.