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Basic Differentiation Rule

If y=x3+2x2+7...

Question

If $y = x^{3} + 2 x^{2} + 7 x + 8$ , then $\frac{d y}{d x}$ will be

A

3 x^{2} + 2 x + 15

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B

3 x^{2} + 4 x + 7

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C

x^{3} + 2 x^{2} + 15

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D

3 x^{2} + 4 x + 7

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Solution

The correct option is B $3 x^{2} + 4 x + 7$
$y = x^{3} + 2 x^{2} + 7 x + 8$
$\frac{d y}{d x} = 3 x^{2} + 4 x + 7$

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