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Cauchy Mean-Value Theorem
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
.
Geometric interpretation: Consider the parametric curve
,
,
; then the line passing through
,
is parallel to the tangent line passing through
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Cauchy's Mean-Value Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
"
Cauchy Mean-Value Theorem
"
http://demonstrations.wolfram.com/CauchyMeanValueTheorem/
Wolfram Demonstrations Project
Published: June 4, 2008
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