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Derivative of Area Equals Perimeter—Coincidence or Rule?

Rina Zazkis, Ilya Sinitsky, and Roza Leikin 

May 2013, Volume 106, Issue 9, Page 686

Abstract:
A familiar relationship—the derivative of the area of a circle equals its circumference—is extended to other shapes and solids.

Keywords:
Derivatives
Limits
Conceptual Development
Grades 9-12
Area
Teacher
Perimeter / Circumference
Volume