Flett's Theorem

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Flett's theorem: Given a function differentiable on with , there is an intermediate point such that

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Geometric interpretation: The secant line connecting the points and is exactly the tangent line to the curve at the point .

The example used is the function on the interval .

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


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Reference

T. M. Flett, "A Mean Value Theorem," Math. Gazette, 42, 1958 pp. 38–39.



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