Find f'(2) for Composite Functions

[fiziksfun]

Let f(x)=g(h(x))

where h(2)=3
h'(2)=4
g(3)=5
g'(3)=5

find f'(2)

Attempt at a solution

I tried to used the product rule, but I don't think composite function are the same as multiplying. Does anyone have any suggestions??

 

[HallsofIvy]

The product ruile? Why in the world would you use the product rule when there is no product here? How about the chain rule?