University of Georgia
University of Georgia: Mean Value Theorem
This site has a detailed explanation of the Mean Value Theorem.
Harvey Mudd College
Hmc Mathematics Online Tutorial: The Mean Value Theorem
This resource defines the mean value theorem and Rolle's theoem and also discusses key concepts of these theorems.
Texas A&M University
Texas A&m University: Mean Value Theorem
Excellent site from the Texas A&M University on The Mean Value Theorem with information on how it relates to the extreme value theorem
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Harvey Mudd College
Mean Value Theorem: Proof of the Mean Value Theorem
A proof of the mean value theorem is offered at this site.
Mathematics Archives
Math Archives: Visual Calculus: Mean Value Theorem
This site provides an explanation as well as formulas and examples of the mean value theorem.
Wolfram Research
Wolfram Mathworld: Mean Value Theorem
This MathWorld site gives parameters for the Mean Value Theorem included in the definition; there is however no picture to illustrate this.
Math Open Reference
Math Open Reference: Mean Value Theorem
Gain an understanding of the mean value theorem with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Texas Instruments
Texas Instruments: Mean Value Theorem
The student will be able to understand the Mean Value Theorem using numerical and graphical methods.
Analyze Math
Analyze Math: Mean Value Theorem
The interactive applet explores the mean value theorem.
Analyze Math
Analyze Math: Mean Value Theorem Problems
The resource consists of examples with detailed solutions that investigate the mean value theorem.
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Wolfram Research
Wolfram Mathworld: Extended Mean Value Theorem
Site contains information on the Extended Mean Value Theorem, similar to the Mean Value Theorem, with two functions on the interval.
Math Words
Math words.com: Mean Value Theorem
A definition is given for what the mean value theorem is along with an illustrative example.
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 1 [Pdf]
The resource examines the Mean Value Theorem. Learners sketch secant and tangent lines. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 2 [Pdf]
The resource examines the Mean Value Theorem. Students sketch secant and tangent lines. The graph is available in PDF format.
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Integral Properties
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus I: Proofs of Derivative Applications Facts
The tutorial consists of proofs of derivative applications. Topics discussed are Fermat?s theorem, mean value theorem, and Rolle?s theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Teoremas Del Calculo Diferencial
In Spanish. This interactive unit you will be able to analyze the Rolle's Theorem and the Mean Value Theorem of differentiable functions.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 3 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 4 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Wolfram Research
Wolfram Math World: Calculus
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.