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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
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Reference
T. M. Flett, "A Mean Value Theorem,"
Math. Gazette
,
42
, 1958 pp. 38–39.
RELATED LINKS
Mean-Value Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
"
Flett's Theorem
"
http://demonstrations.wolfram.com/FlettsTheorem/
Wolfram Demonstrations Project
Published: March 14, 2008
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