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State and prove rolles theorem in algebra |
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Answer» 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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