How do you find the derivative of f(x)=(1/x^2)?

Jun 17, 2018

$f ' \left(x\right) = - \frac{2}{x} ^ 3$

Explanation:

Writing
$f \left(x\right) = {x}^{- 2}$
we get

$f ' \left(x\right) = - 2 {x}^{- 3}$
after the rule

$\left({x}^{n}\right) ' = n {x}^{n - 1}$