Function and Derivatives

This example demonstrates the geometric meaning of a function and its derivatives, showing the relationship between the tangent, slope, and the original function through dynamic constructions. Core mathematical concepts include derivatives, tangents, slopes, areas, definite integrals, and secant lines. It utilizes GeoGebra commands/objects such as Point, Tangent, Slope, Textfield, f, A, g, s, B, h, a, InputBox1, i, j, k, b, c, d, e, l, m, t, C, u, v, text4, text5, r, w, a_1, D, b_1, E, c_1, text1. Suitable for high school calculus instruction to visually understand the definition and geometric applications of derivatives.