Derivative Demo: Tangent Line and Function Graph

① This example dynamically shows the tangent line at a point on a function graph, visually demonstrating the geometric meaning of the derivative—the slope of the tangent equals the derivative value at that point. ② Core mathematical concepts include derivative, tangent line, function graph, and slope variation, forming an introductory foundation in calculus. ③ Construction highlights: using GeoGebra's Line command to create straight lines, involving objects such as point A, point B, point h, function f, and line c; moving point h or A changes the tangent position to observe slope changes. ④ Suitable for high school or early college students learning calculus, ideal for classroom demonstrations or self-exploration to grasp the relationship between derivatives and local rates of change.