Hmc Mathematics Online Tutorial: The Mean Value Theorem

At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...

This site has a detailed explanation of the Mean Value Theorem.

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.

Video lesson introducing the mean value theorem by providing the theorem and explaining it visually with an arbitrary graph and an example about driving.

Video lesson introducing the mean value theorem by providing the theorem and explaining it visually with an arbitrary graph and an example about driving. Includes an example of using the mean value theorem with a specific function. [16:48]

Excellent site from the Texas A&M University on The Mean Value Theorem with information on how it relates to the extreme value theorem

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...

A proof of the mean value theorem is offered at this site.

This site provides an explanation as well as formulas and examples of the 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.