I need to prove the following. I do not know how to do that. Thanks for any help.

$\displaystyle

\frac{d}{dx} \left[\sin^-1\left(u \left( x\right)\right)\right] = \frac{1}{\sqrt[2]{1- \left[ u \left(x\right)\right]^2}} \frac{d}{dx} u\left(x\right)

$