# How do you find the derivative of y= ((e^x)/(x^2))using the quotient rule?

$y ' = \frac{\left({e}^{x} \cdot {x}^{2}\right) - \left({e}^{x} \cdot 2 x\right)}{{x}^{2}} ^ 2 =$
$= x {e}^{x} \frac{x - 2}{x} ^ 4 = {e}^{x} \frac{x - 2}{x} ^ 3$
Remember the Quotient Rule where if you have $y = \frac{h}{g}$
$y ' = \frac{h ' g - h g '}{g} ^ 2$