Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
Cac077, Mean Value Theorem
Language:
English
Media Formats:
eBook, Interactive

# Mean Value Theorem Modules

## Overview

After completing this section, students should be able to do the following.

• Understand the statement of the Extreme Value Theorem.
• Understand the statement of the Mean Value Theorem.
• Sketch pictures to illustrate why the Mean Value Theorem is true.
• Determine whether Rolle’s Theorem or the Mean Value Theorem can be applied.
• Find the values guaranteed by Rolle’s Theorem or the Mean Value Theorem.
• Use the Mean Value Theorem to solve word problems.
• Compare and contrast the Intermediate Value Theorem, Mean Value Theorem, and Rolle’s Theorem.
• Identify calculus ideas which are consequences of the Mean Value Theorem.

# Let's run to class

## Ximera Module

Two young mathematicians race to math class.

# The Extreme Value Theorem

## Ximera Module

We examine a fact about continuous functions.

# The Mean Value Theorem

## Ximera Module

Here we see a key theorem of calculus.