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Question

Differentiate the following functions with respect to x :

ex1+ex

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Solution

we have

ddx(ex1+ex)

Using quotient rule,

=(1+x2)ddx(ex)(ex)ddx(1+x2)(1+x2)2=(1+x2)exex×2x(1+x2)2=ex(1+x22x)(1+x2)2=ex(1x)2(1+x2)2


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