Critical Points Analysis

This example dynamically demonstrates the critical points, extrema, and relationships with derivatives of a function using GeoGebra. It involves core mathematical concepts such as derivatives, extrema, function graphs, and equation solving. Key GeoGebra commands used include Max, Min, Derivative, and Roots, with objects like d, c, b, a, f, c1, c2, g, R1, R2, e, h, k, i, j to construct the function and its analysis graphics. Suitable for high school students and beginners in calculus learning function properties and optimization problems.