Question

If y=x cosx +sinxx ; then find
dy/dx​

Answer 1

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Answer 2

$y = x \cos \: x + x \sin \: x$

$\frac{dy}{dx} = x. \frac{d( \cos \: x)}{dx} + \cos x . \frac{d(x)}{dx} + x. \frac{d( \sin \: x )}{dx} + \sin \: x. \frac{d(x) }{dx}$

$\frac{dy}{dx} = x \sin \: x + \cos \: x + x \cos \: x + \sin \: x$