# What are the critical points of #f(x) =(x^2-4x+5)/(x-3)#?

##### 1 Answer

Feb 4, 2016

The critical numbers are

#### Explanation:

# = (x^2-6x+7)/(x-3)^2#

and

So, the critical numbers for

There appears to be some variability in the use of the term "critical point".

I use it to mean a point *in the domain* of a function at which the derivative is

Some people seem to use it to mean a point *on the graph* of a function at which the derivative is