Viewing topic: Rolle's Theorem

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Rolle's Theorem

  • Definition: Assume f has a derivative (finite or infinite) at each point of an open interval (a, b), and assume that f is continuous at both endpoints a and b. If f(a) = f(b) there is at least one interior point c at which f '(c) = 0.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

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