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Chapter 23 of 46

The Mean Value Theorem

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.

Free10–14 min

By the end

Each chapter closes with capabilities, not topics. Watch for these.

01Verify hypotheses and apply the Mean Value Theorem
02Use Rolle's theorem as the special case
03Draw conclusions about f from facts about f'