# How do you find the derivative of (x^2-4)/(x-1)?

$\frac{d}{\mathrm{dx}} \left[\frac{{x}^{2} - 4}{x - 1}\right] = \frac{\left(x - 1\right) \left(2 x\right) - \left({x}^{2} - 4\right) \left(1\right)}{x - 1} ^ 2$
$= \frac{2 x}{x - 1} - \frac{{x}^{2} - 4}{x - 1} ^ 2$