alleryA special case of the Mean Value Theorem, applying when the endpoints have equal function values, is:
ARolle's theorem
BRamsey's theorem
CRiemann's theorem
DRussell's theorem
Answer & Solution
Correct answer: A. Rolle's theorem
1. The chord joining the endpoints is horizontal.
2. The theorem then guarantees a horizontal tangent inside.
3. That special case is Rolle's theorem.
_Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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