10392
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Extreme Value Theorem
If the function
is continuous over the closed interval
, then there is at least one maximum value (green) and one minimum value (red) of
in that interval.
Contributed by:
Jacqueline Wandzura
Additional contributions by:
Stephen Wandzura
SNAPSHOTS
DETAILS
Snapshot 3: If a function is monotone increasing or decreasing in a given interval, then the endpoints must be the extrema.
RELATED LINKS
Extreme Value Theorem
(
Wolfram
MathWorld
)
Maximum
(
Wolfram
MathWorld
)
Minimum
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Extreme Value Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExtremeValueTheorem/
Contributed by:
Jacqueline Wandzura
Additional contributions by:
Stephen Wandzura
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
Fundamental Theorem of Calculus
Stephen Wilkerson and LTC Hartley
Mean Value Theorem
Michael Trott
Cauchy Mean-Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Integral Mean Value Theorem
Chris Boucher
A Generalization of the Mean Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Two Integral Mean Value Theorems
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Fundamental Theorem of Calculus and Initial Value Problems
Raquel Ruiz de Eguino
Two Integral Mean Value Theorems of Flett Type
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Flett's Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Rolle's Theorem
Laura R. Lynch
Related Topics
Calculus
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSF-IF.A.1
HSF-IF.B.5
HSF-IF.C.7
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+