How do you find the derivative for (5x-2)/(x^2+1)?

I found: $\frac{- 5 {x}^{2} + 4 x + 5}{{x}^{2} + 1} ^ 2$
${\lim}_{h \to 0} \frac{f \left(x + h\right) - f \left(x\right)}{h}$