# How do you use the quotient rule to differentiate  f(x)= 4/(x-2)?

$f ' \left(x\right) = - \frac{4}{x - 2} ^ 2$
Writing $f \left(x\right) = 4 {\left(x - 2\right)}^{- 1}$ we get after the power rule
$\left({x}^{n}\right) ' = n {x}^{n - 1}$
$f ' \left(x\right) = - 4 {\left(x - 2\right)}^{- 2}$