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Question

Differentiate the following functions with respect to x:
xn tanx

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Solution

We have,

ddx(xn tanx)

=tanxddx(xn)+xnddx(tanx) [Using product rule]

=tanx.nxn1+xnsec2x

=xn1(n.tanx+x.sec2x)

=[xn=xn1.x1=xn1+1]

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