Flett's Theorem

Flett's theorem: Given a function differentiable on with , 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 .

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DETAILS

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