# How do you derive y = 1/(1-x^2) using the quotient rule?

Jun 24, 2018

$y ' = 2 \frac{x}{1 - {x}^{2}} ^ 2$

#### Explanation:

Writing your function in the form

$y = {\left(1 - {x}^{2}\right)}^{- 1}$
and using the power and chain rule we get

$y ' = \left(- 1\right) {\left(1 - {x}^{2}\right)}^{- 2} \left(- 2 x\right) = \frac{2 x}{1 - {x}^{2}} ^ 2$