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  • MA101: Single-Variable Calculus I
  • Sections
  • Course Introduction
  • Unit 1: Analytic Geometry
  • Unit 2: Instantaneous Rate of Change: The Derivative
  • Unit 3: Rules for Finding Derivatives
  • Unit 4: Transcendental Functions
  • Unit 5: Curve Sketching
  • Unit 6: Applications of the Derivative
  • Unit 7: Integration
  • Unit 8: Applications of Integration
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MA101: Single-Variable Calculus I

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  4. MA101: Single-Variable Calculus I
  5. Sections
  6. Unit 6: Applications of the Derivative
  7. 6.5: The Mean Value Theorem

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Back to 'Unit 6: Applications of the Derivative\'
  • 6.5: The Mean Value Theorem

    • Whitman College: David Guichard's "Calculus, Chapter 6: Applications of the Derivative, Section 6.5: The Mean Value Theorem" URL

      Read Section 6.5 (pages 141-144). The Mean Value Theorem is an important application of the derivative which most often is used in further developing mathematical theories. A special case of the Mean Value Theorem, called Rolle's Theorem, leads to a characterization of antiderivatives.

    • Massachusetts Institute of Technology: David Jerison's "The Mean Value Theorem" Page

      Watch this video from 15:10 to the end.

    • Whitman College: David Guichard's "Calculus, Chapter 6: Applications of the Derivative": "Exercises 6.5, Problems 1, 2, 6-9" URL

      Work through problems 1, 2, and 6-9 for Exercise 6.5. When you are done, check your answers against Appendix A.

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