Question

use chain rule to evaluate ((3x)^2-5x)^-2/3

Answer 1

\[\frac{d}{dx}[(3x)^2-5x)^{-2/3}]= \frac{d}{dx}[(9x^2-5x)^{-2/3}]\]
\[ \frac{d}{dx}[(9x^2-5x)^{-2/3}]=\frac{-2(18x-5)}{3(9x^2-5x)^\frac{5}{3}}\]