Author:
Jim Fowler
Subject:
Calculus
Material Type:
Module
Level:
Community College / Lower Division, College / Upper Division
Provider:
Ohio Open Ed Collaborative
Tags:
  • Mean Value Theorem
    License:
    Creative Commons Attribution Non-Commercial
    Language:
    English
    Media Formats:
    eBook, Interactive

    Education Standards

    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

    The Extreme Value Theorem

    The Mean Value Theorem