# How do you differentiate sin(x^2)(cos(x^2))?

##### 1 Answer
Apr 29, 2015

In this way, with the chain rule and the product rule:

$y ' = \cos {x}^{2} \cdot 2 x \cdot \cos {x}^{2} + \sin {x}^{2} \cdot \left(- \sin {x}^{2}\right) \cdot 2 x =$

$= 2 x \left({\cos}^{2} x - \sin {x}^{2}\right)$.