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Question

If y=x2+5x32+2x, then dydx= ?


A

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B

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C

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D

none of these

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Solution

The correct option is D

none of these


Differentiating both sides w.r.t. 'x'
dydx=ddx[x2+5x32+2x]
Using the linearity property of the differentiation, we get = ddx[x2]+ddx[5x32]+ddx[2x]
Taking constants out, = ddx[x2]+5d[x32]dx+2ddx[1x]
=2x+5.32x12+2.(1)x2=2x+152x122x2


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