Derivatives of powers of sine functions

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Find the derivative $\;\;\;\frac{d}{dx}sin^{4}\left(5x-5\right)$

**Answer**

$\;\;\;\frac{d}{dx}sin^{4}\left(5x-5\right)$

$=\left(4\right)\,sin^{3}\left(5x-5\right)\,\left(cos\left(5x-5\right)\right)\,\left(5\right)$

$=20\,sin^{3}\left(5x-5\right)\,cos\left(5x-5\right)$