# What is the derivative of y=x/(x^3-1)?

The derivative is $\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{- 2 {x}^{3} - 1}{{x}^{3} - 1} ^ 2$
$\frac{d}{\mathrm{dx}} \left(\frac{x}{{x}^{3} - 1}\right) = \frac{\left({x}^{3} - 1\right) \cdot 1 - x \cdot 3 {x}^{2}}{{\left({x}^{3} - 1\right)}^{2}} = \frac{- 2 {x}^{3} - 1}{{x}^{3} - 1} ^ 2$