How can I find the derivative of an integration with respect to y?

[phonic]

Dear all,

I have a function in the form of $f(y) = \int_{-h(y)}^{h(y)} g(x,y)dx$ . Then how to calculate its derivative w.r.t. y? i.e.
$\frac{d f(y)}{dy}$

Thank you very much for your input!

 

[micromass]

Check out the Leibniz integral rule. http://en.wikipedia.org/wiki/Leibniz_integral_rule