Derivatives of powers cosecant functions

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Find the derivative $\;\;\;\frac{d}{dx}csc^{4}(8x-5)$

**Answer**

$\;\;\;\frac{d}{dx}csc^{4}(8x-5)$

$=(4)\,csc^{3}\,(8x-5)\,(-csc(8x-5)\,cot(8x-5))\,(8)$

$=-32\,csc^{4}(8x-5)\,cot(8x-5)$