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


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


"Flett's Theorem" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/FlettsTheorem/
Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa.
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