$\displaystyle F(x)=\int_{h(x)}^{g(x)}f(x,t)dt$

How would I evaluate F'(x) without evaluating the integral? More specifically, I have a problem that states:

$\displaystyle f(x)=\int_{0}^{h(x)}(g(x,t))^4dt$

where g and h are both C1, and asks for a formula for f'(x), but I really have no idea how to tackle this.