Question

What is the derivative of this function?

Answer 1

Best regard;

I write you the answer because the procedure is a bit extensive:

$\mathrm{Derivada\:implicita\:}\frac{dy}{dx}\mathrm{\:de\:}3y=\left(x+\frac{1}{x}\right)\left(x-\frac{1}{x}+1\right):\quad \frac{2x^4+2-x+x^3}{3x^3}$

The answer

$\frac{d}{dx}\left(y\right)=\frac{2x^4+2-x+x^3}{3x^3}$

I hope the solution is correct, qualifies the help of this response, in order to improve the next ones.