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Question

Differentiate the following equation,
(1+x2) cos x

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Solution

We have,
ddx((1+x2) cos x)
=cos xddx(1+x2)+(1+x2)ddx(cosx) [Using product rule]
=cos x×2x+(1+x2)(sin x)
=2x cos x(1+x2)sin x

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