# How do you find the local max and min for #f(x) = (3x) / (x² - 1)#?

##### 1 Answer

Dec 16, 2016

#### Explanation:

Find the critical points by equating the first derivative to zero:

As the derivative is negative in all the domain of the function, the function is strictly decreasing and has no local extrema.

graph{3x/(x^2-1) [-10, 10, -5, 5]}