The mean value theorem describes a fundamental property of continuous functions: if f f ff is a continuous function on the interval [ a
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The mean value theorem states that if a function is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c contained in the interval (a,b) such that f'(c) is equal to the average rate of change of the function on [a,b].
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