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

$f ' \left(x\right) = \frac{{e}^{x} \left(x - 1\right)}{x} ^ 2$
$f \left(x\right) = {e}^{x} / x$
So, $\setminus \frac{d}{\mathrm{dx}} \left(f \left(x\right)\right) = \frac{\setminus \frac{d}{\mathrm{dx}} \left({e}^{x}\right) \cdot x - \setminus \frac{d}{\mathrm{dx}} \left(x\right) \cdot {e}^{x}}{x} ^ 2$