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

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.