# How do you find the derivative of F(x)= (x+1)/(x-1)?

Feb 22, 2017

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

#### Explanation:

$F \left(x\right) = \frac{x + 1}{x - 1}$

Applying the Quotient Rule:

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

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

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