Derivatives of powers cotangent functions

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Find the derivative $\;\;\;\frac{d}{dx}cot^{8}(6x-6)$

**Answer**

$\;\;\;\frac{d}{dx}cot^{8}(6x-6)$

$=(8)\,cot^{7}(6x-6)\,(-csc^2(6x-6))\,(6)$

$=-48\,cot^{7}(6x-6)\,csc^2(6x-6)$