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

Explanation

1. 01

   $\frac{d}{dx} a^{u} = a^{u}\log a \cdot u'$ with $u = x^{2}$.

2. 02

   $2^{x^{2}} \log 2 \cdot 2x$.