Secant Lines and the Derivative Visualization

This example dynamically demonstrates how a secant line approaches a tangent line, visually illustrating the concept of the derivative. It involves core mathematical concepts such as derivatives, limits, and the relationship between secant and tangent lines. The construction uses GeoGebra commands like Point, Line, Tangent, and Slope, along with objects like f (function), A/B (points), a/b/c (parameters), m (slope), and text1/text2 (texts). It is suitable for high school calculus instruction to help students grasp the idea of limits and the definition of derivatives.