10062
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Mean Value Theorem
Mean value theorem for a cubic.
Contributed by:
Michael Trott
SNAPSHOTS
DETAILS
—
-coordinate of the
first point for secant making
—
-coordinate of the
second point for secant making
— coefficients of the polynomial
The mean value theorem states that for a smooth function
on the real line and two points
,
on the line, there exists a point
between
and
, such that
.
RELATED LINKS
Mean-Value Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
Michael Trott
"
Mean Value Theorem
"
http://demonstrations.wolfram.com/MeanValueTheorem/
Wolfram Demonstrations Project
Published: September 28, 2007
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
Cauchy Mean-Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
A Generalization of the Mean Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Flett's Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Fundamental Theorem of Calculus
Chris Boucher
The Tangent Line Problem
Samuel Leung and Michael Largey
L'Hospital's Rule for 0/0 Forms
Chris Boucher
Tangent Planes to Quadratic Surfaces
Gerhard Schwaab and Chantal Lorbeer
Integral Mean Value Theorem
Chris Boucher
Average Value of a Function
Michael Largey and Samuel Leung
A Semi-Discrete Analog to The Mean Value Theorem
Amir Finkelstein
Related Topics
Calculus
College Mathematics
Derivatives
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+