What is $\frac{d}{dx}\left(\left(3 x^{2} - 5\right)^{4}\right)$?

Explanation

1. 01

   $\frac{d}{dx} u^{4} = 4u^{3} u'$ with $u = 3x^{2} - 5$, $u' = 6x$.

2. 02

   $4(3x^{2} - 5)^{3} \cdot 6x = 24x(3x^{2} - 5)^{3}$.