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Question

If y=3x2+2x then dydx=?


A

8x

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B

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C

6x + 2

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D

none of these

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Solution

The correct option is D

6x + 2


dydx=ddx[3x2]+ddx[2x] (Using the linearity property of differentiation)

dydx=3d[x2]dx+2d[x]dx (Separating the constant coefficients)
=3×2 x21+2×1x11 =6x+2(using d[xn]dx=n.xn1)


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