Derivatives of powers cosecant functions

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Find the derivative $\;\;\;\frac{d}{dx}csc^{8}(7x+6)$

**Answer**

$\;\;\;\frac{d}{dx}csc^{8}(7x+6)$

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

$=-56\,csc^{8}(7x+6)\,cot(7x+6)$