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Question

ddxx2exsinx=


A

xex2sinx+xsinx+xcosx

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B

xex2sinx+xsinx-cosx

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C

xex2sinx+xsinx+cosx

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D

none of these

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Solution

The correct option is A

xex2sinx+xsinx+xcosx


Explanation for correct option:

Given, ddxx2exsinx

Apply theorem for multiplication.ddxu·v=dudx×v+udvdx

=2xexsinx+x2exsinx+x2excosx=xex2sinx+xsinx+xcosx

Hence, correct answer is option A


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