Find the derivative of $[f(x)]^n$ where $f(x)$ is differentiable and $n$ is an integer.

Lesson Parent: 
Problem: 

Find the derivative of $[f(x)]^n$ where $f(x)$ is differentiable and $n$ is an integer.

Answer: 

\[\frac{d}{dx}\left[\,[f(x)]^n\,\right]=n\left[\,f(x)\,\right]^{n-1}\cdot\frac{df}{dx}\]