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Question

Differentiate the following functions with respect to x:
sinx cosx

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Solution

We have,

ddx(sinx cosx)

cos x ddx(sin x)+sin x ddx(cos x) [Using product rule]

=cos x (cos x)+sin x (sin x)

=cos2xsin2x [cos 2x=cos2xsin2x]

=cos 2x

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