# How do you find the derivative of y(x)= 6/(x-8)?

Oct 22, 2016

$y ' \left(x\right) = \frac{- 6}{x - 8} ^ 2$

#### Explanation:

We will find $y ' \left(x\right)$ based on derivative of rational function that says:
color(blue)((u/v)'=(u'v-v'u)/v^2

color(blue)(y'(x)=((6)'(x-8)-(x-8)'*6)/(x-8)^2

color(blue)(y'(x)=(0*(x-8)-1*6)/(x-8)^2

color(blue)(y'(x)=(-6)/(x-8)^2