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Basic Differentiation Rule

If y=x2 sin x...

Question

If $y = x^{2} sin x$ , then $\frac{d y}{d x}$ will be

A

x^{2} cos x + 2 x sin x

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B

2 x sin x

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C

x^{2} cos x

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D

2 x cos x

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Solution

The correct option is A $x^{2} cos x + 2 x sin x$
$y = x^{2} s i n x \frac{d y}{d x} = x^{2} \frac{d}{d x} (s i n x) + s i n x \frac{d}{d x} (x^{2}) = x^{2} c o s x + 2 x s i n x$

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