First slide

Diffrentiation

Question

If y = x² sin x , then $\frac{d y}{d x}$ will be

Easy

A

x² cos x + 2x sin x
B

2x sin x
C

x² cos x
D

2 x cos x

Solution

$\begin{array}{l} y = x^{2} \sin x \\ \frac{d y}{d x} = x^{2} \frac{d}{d x} \sin x + \sin x \frac{d}{d x} (x^{2}) \\ = x^{2} \cos x + 2 x \sin x \end{array}$

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