# How do you find the critical points for #f(x)= x^2 + 4x - 12#?

##### 1 Answer

Mar 26, 2015

If you study the first derivative of your function you can see when your function has an horizontal tangent (i.e. where the derivative is equal to zero) meaning that there you have a minimum or maximum. To decide whether it is a maximum or minimum you set the derivative bigger than zero.

To detect inflection points you do the same but with the second derivative.