Find the derivative of $[f(x)]^n$ where $f(x)$ is differentiable and $n$ is an integer.
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Lesson Parent:
Problem:
Find the derivative of $[f(x)]^n$ where $f(x)$ is differentiable and $n$ is an integer.
Answer:
\[\frac{d}{dx}\left[\,[f(x)]^n\,\right]=n\left[\,f(x)\,\right]^{n-1}\cdot\frac{df}{dx}\]