Visualizing the Limit Definition of Derivative

This GeoGebra example demonstrates the limit definition of derivative through dynamic geometric construction. It visualizes how the secant line at point A on a function curve approaches the tangent line as h approaches zero, intuitively showing the geometric meaning of derivative as a limit. Key commands used: Vector for representing difference quotients, Textfield for displaying limit expressions, Tangent for constructing tangent lines, and Line for drawing secant lines. Input boxes allow users to adjust parameter a and h, with sliders controlling h to dynamically observe the difference quotient approaching the tangent slope as h→0. Suitable for high school mathematics and introductory calculus courses.