AP Calculus ABChapter 23 of 46
The Mean Value Theorem
Not yet publishedplanned runtime 10–14 min
If you averaged 60 mph over an hour, at some instant you were doing exactly 60. Obvious-sounding — and one of the most load-bearing facts in calculus.
What this chapter covers
- verify hypotheses and apply the Mean Value Theorem
- use Rolle's theorem as the special case
- draw conclusions about f from facts about f'