# How do you find the critical numbers for #f(x)=x^2-6x# to determine the maximum and minimum?

##### 1 Answer

Oct 7, 2016

Differentiate to find the first derivative which will be zero at a max or min.

#### Explanation:

Differentiating gives:

At a max or min,

So there is one critical point (could be max or min; in fact it is a minimum by observation as its is a +ve U shaped quadratic) when