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Rolles theorem is a special case of​

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Rolle's theorem, in analysis, special CASE of the mean-value theorem of DIFFERENTIAL calculus. ... Rolle's theorem states that if a function F is CONTINUOUS on the closed interval [a, B] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.



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