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Cauchy Mean-Value Theorem

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The Cauchy mean-value theorem states that if and are two functions continuous on and differentiable on , then there exists a point in such that .

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Geometric interpretation: Consider the parametric curve , , ; then the line passing through , is parallel to the tangent line passing through .

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Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (June 2008)
Open content licensed under CC BY-NC-SA

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