# How do use the first derivative test to determine the local extrema #1/(x^2-x+2)#?

##### 1 Answer

Aug 19, 2015

#### Answer:

Local maximum:

There is no local minimum.

#### Explanation:

# = -(2x-1)/(x^2-x+2)^2#

The only critical number is

Since the denominator of the derivative is always positive, the sign os