Given-that-y-x-2-cosx-find-dy-dx-simplifying-your-answer-as-far-as-posible-

Question Number 37662 by Rio Mike last updated on 16/Jun/18

Given that y = x^{2} c o s x,

find \frac{d y}{d x}, simplifying your answer

as far as posible

Answered by Joel579 last updated on 16/Jun/18

u = x^{2}

v = \cos x

\frac{d y}{d x} = {u v}^{'} + {v u}^{'} = x^{2} . - \sin x + \cos x . 2 x

= - x^{2} \sin x + 2 x \cos x

= x (2 \cos x - x \sin x)

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