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Differentiate xn cot x

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By Product Rule: (uv)′ = u′v + uv′

Here u = xn and v = cot x

(xn cot x)’ = nxn-1 (cot x) + x(- cosec2x)

= nxn-1 (cot x) – x(cosec2x)

= xn-1 (n cot x – x cosec2x)

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