Question

y=x^2.sin x diffrentiate

Answer 1

you solve this question by uv method the answer is 2xsinx+cosxx²

Answer 2

$y = {x}^{2} \times \sin(x) \\ \\ \frac{dy}{dx} = {x}^{2} \frac{d (\sin(x)) }{dx} + \sin(x) \frac{d {x}^{2} }{dx} \\ \\ using \: product \: rule \: \\ \\ \frac{dy}{dx} = {x}^{2} \cos(x) + 2x \sin(x)$
Formulas Used :-
$1) \: \: \: \frac{d(sinx)}{dx} = \cos(x) \\ 2) \: \: \: \frac{d {x}^{n} }{dx} = n {x}^{n - 1}$