Definition of the Derivative (Dynamic Visualization)

This GeoGebra example dynamically illustrates the definition of the derivative by showing how a secant line through a point on a function graph approaches the tangent line as the increment h tends to zero. The core mathematical concept is the limit definition of the derivative: the slope of the tangent line as the limit of the secant slope. Construction details include using the Segment command to create secant lines, the If command for conditional logic, and objects such as the function f, moving point P, increment h, secant line, tangent line, and multiple text objects (text1 to text7) displaying values and formulas. Suitable for high school and introductory college calculus students to grasp the geometric meaning of derivatives, and useful for classroom demonstrations.