Tangent-zoom: Dynamic Tangent Line Demonstration

This example demonstrates the dynamic change of the tangent line to a function graph at a specific point. The key mathematical concepts involved include derivatives, tangent line equations, and geometric properties of function graphs. The construction involves using GeoGebra commands such as Point, Tangent, LaTeX, and Polygon to create the tangent line, combined with zoom and zoomvindue commands for scaling animation. It is suitable for high school students or college undergraduates to understand the relationship between derivatives and function graphs, and for geometric construction practice.