Definition of Derivative: Geometric Meaning and Tangent Slope

This GeoGebra example illustrates the geometric definition of the derivative, showing how the slope of a secant line approaches the tangent slope as points converge. Key concepts include differential calculus, limits, and instantaneous rate of change. Construction utilizes Point, Line, Tangent, and Slope commands to visualize function f and tangent g. Ideal for high school or college calculus students to grasp the fundamental concept of derivatives and local behavior of functions.