Question

defferentiate x to the power n cot x using product rule

$y = uv$
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Answer 1

Answer:

The derivative of cotangent can be found in the same way. However, this can be also done using the chain rule for differentiating a composite function: (cotx)′=(1tanx)′=−1tan2x⋅(tanx)′=−1sin2xcos2x⋅1cos2x=−cos2x sin2x⋅cos2x =−1sin2x. (cscx)′=(1sinx)′=−1sin2x⋅(sinx)′=−cosxsin2x=−cosxsinx⋅1sinx=−cotxcscx.