What is $\frac{d}{dx}\left(\tan^{-1}{\left(x^{2} \right)}\right)$?

Explanation

1. 01

   $\frac{d}{dx}\tan^{-1} u = \frac{u'}{1 + u^{2}}$ with $u = x^{2}$.

2. 02

   $\frac{2x}{1 + x^{4}}$.