Question

If $y=x^3\log \left(\frac{1}{x}\right)$. Find $\frac{dy}{dx}$

Answer 1

$y=x^3\log \frac{1}{x}\frac{dy}{dx}=3x^2\log \frac{1}{x}+x^3\left(x\right)\frac{dy}{dx}=3x^2\log \frac{1}{x}+x^4$