MA101: Single-Variable Calculus I

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

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  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

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  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

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