The American Mathematical Association of Two-Year Colleges
 
Rotation of Axes and the Mean Value Theorem by: David Price

David Price earned his BS and MS degrees from Southwestern University and the University of North Texas respectively. He teaches mathematics at Tarrant County College in Arlington, Texas.
E-mail: david.price@tccd.edu

This article provides a proof of the Mean Value Theorem by rotating a coordinate system through a specified angle. The use of this approach makes it easy to visualize why the Mean Value Theorem is true. An instructor can use the proof as another illustration of the rotation of axis technique in addition to the standard one of simplifying equations of conic sections.
 

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