The derivative of x2sin⁡x+cos⁡2x is - Infinity Learn by Sri Chaitanya

A
$x^{2} \cos x + 2 xsin x - \sin 2 x$
B
$x^{2} \cos x + 2 xsin x - 2 \sin 2 x$
C
$x^{2} \cos x + xsin x - 2 \sin 2 x$
D
$x^{2} \cos x + 2 xsin x + 2 \sin 2 x$

Solution:

Let,

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

The derivative of $(x^{2} \sin x + \cos 2 x)$ is

Solution:

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