# How do you find the derivative of f(x)=(1-x)^3?

Aug 20, 2015

$f ' \left(x\right) = - 3 \left(1 - {x}^{2}\right)$

#### Explanation:

You can use the chain rule:

$f \left(x\right) = {\left(1 - x\right)}^{3}$

$f ' \left(x\right) = 3 {\left(1 - x\right)}^{2.} \left(- 1\right)$

$f ' \left(x\right) = - 3 \left(1 - {x}^{2}\right)$