# How do you differentiate f(x)= e^x/(e^(x) -4 ) using the quotient rule?

$\frac{- 4 {e}^{x}}{{e}^{x} - 4} ^ 2$
Here it is $\frac{\left({e}^{x} - 4\right) \frac{d}{\mathrm{dx}} {e}^{x} - {e}^{x} \frac{d}{\mathrm{dx}} \left({e}^{x} - 4\right)}{{e}^{x} - 4} ^ 2$
=$\frac{- 4 {e}^{x}}{{e}^{x} - 4} ^ 2$