What is $\frac{d}{dx}\left(2^{3x}\right)$?

Explanation

1. 01

   $\frac{d}{dx}a^{u} = a^{u}\log a \cdot \frac{du}{dx}$, with $u = 3x$.

2. 02

   $2^{3x}\log 2 \cdot 3 = 3 \cdot 2^{3x}\log 2$.