Question

Find the derivatives of Y=x²×log sinx​

Answer 1

$\huge\color{Black}\boxed{\colorbox{red}{❀Answer❀}}$

$given \: \: y = x {}^{2} logsinx \\differentiate \: w.r.t \: \: x \\ \frac{dy}{dx} = {x}^{2} \frac{d}{dx} logsinx + logsinx \frac{d}{dx} {x}^{2} \\ = {x}^{2} \frac{1}{sinx} cosx + logsinx \: 2x \\ = {x}^{2} cotx + 2xlogsinx$