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Question

Find dydx if y=ex sinx


A

excosx

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B

ex+cosx

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C

ex(cosx+sinx)

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D

none of these

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Solution

The correct option is C

ex(cosx+sinx)


y=ex sinx.
So dydx=ddx(ex sinx)=exddx(sin x)+sin xddx(ex)
=ex cosx+ex sinx=ex(cos x+sin x).


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