# How do you differentiate ycosx^2-y^2=y/x^2?

$y \cos \left({x}^{2}\right) - {y}^{2} = \frac{y}{x} ^ 2$
$\cos \left({x}^{2}\right) = \frac{1}{x} ^ 2 + y$
$y = \cos \left({x}^{2}\right) - \frac{1}{x} ^ 2$
$y ' = - 2 x \sin \left({x}^{2}\right) + \frac{2}{x} ^ 3$