Equation of Tangent Line (roots)

This example demonstrates how to draw the equation of the tangent line to a function f at point a using GeoGebra, and analyzes its relationship with the roots of the function. The core mathematical concepts involved include derivatives, tangent line equations, and function roots. Key construction points involve using GeoGebra commands/objects such as f (function), a (point), A (point), h (value), m_{tan} (slope), and g (function). Suitable for high school mathematics teaching, helping students understand the relationship between derivatives and tangent lines, as well as the geometric meaning of function roots.