10537
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
A Generalization of the Mean Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Cauchy Mean-Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Integral Mean Value Theorem
Chris Boucher
Mean Value Theorem
Michael Trott
The Fundamental Theorem of Calculus
Chris Boucher
Fermat's Theorem on Stationary Points
Julio Cesar de la Yncera
Approximating the Derivative by the Symmetric Difference Quotient
Michael Schreiber
Rolle's Theorem
Laura R. Lynch
Squeeze Theorem
Bruce Atwood (Beloit College)
Riemann's Example of a Continuous but Nowhere Differentiable Function
Michael Trott
Related Topics
Calculus
College Mathematics
Derivatives
Real Analysis
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+