what is mean value theorem
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The Mean Value Theorem is one of the most important theoretical tools in Calculus. It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that.
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The theorem states that if a function for is continuous on the closed interval [a, b] and differentiable on the open interval (a,b) then there exist a point c in the interval (a, b) such that f'(c) is equal to the function's average rate of change over [a, b].
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