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Question

Differentiate the given function w.r.t. x:
sin3x+cos6x

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Solution

Let y=sin3x+cos6x
dydx=ddx(sin3x)+ddx(cos6x)
=3sin2x.ddx(sinx)+6cos5x.ddx(cosx)
=3sin2x.cosx+6cos5x.(sinx)
=3sinxcosx(sinx2cos4x)

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