### Home > APCALC > Chapter 7 > Lesson 7.1.2 > Problem7-23

7-23.

Explain how the first derivative can be used to determine a local minimum or a local maximum. Be sure to distinguish between the two. (Note: What if the first derivative is undefined?)

If the first derivative is $f^\prime(x)$, what is the slope of a maximum or minimum of $f(x)$?