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Question

Differentiate the following functions with respect to x :

extan xcot xxn

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Solution

Using quotient rule, we have,

ddx(extan xcot xxn)

=(cot xxn)ddx(extan x)(extan x)ddx(cot xxn)(cot xxn)2

=(cot xxn)(exsec2x)(extan x)(cosec2xnxn1)(cot xxn)2

=(cot xxn)(exsec2x)+(extan x)(cosec2x+nxn1)(cot xxn)2


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