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Question

Differentiate with respect to x : x2cosx

A
2xcosxx2sinx
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B
2xcosx
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C
2xcosxx2
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D
None of these
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Solution

The correct option is B 2xcosxx2sinx
Let y=x2cosx

Differentiate it with respect to x using by parts d(uv)dx=udvdx+vdudx

so, dydx=x2(sinx)+cosx(2x)

dydx=2xcosxx2sinx


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