Mean Value Theorem Illustrated

This example demonstrates the Mean Value Theorem using geometric construction. The Mean Value Theorem is a fundamental theorem in calculus, describing the relationship between the average rate of change of a function over a closed interval and the instantaneous rate of change at some point within the interval. By constructing lines and tangents, the core of the theorem is illustrated. The example uses commands like Line and Tangent in GeoGebra, suitable for university calculus courses or self-study.