Function Examining - Derivatives and Extreme Points

This example demonstrates how to explore a function's derivatives and extreme points using GeoGebra. Key math concepts include the geometric meaning of derivatives, the monotonicity of functions, and the determination of extreme points. Construction highlights involve using the Intersect command to find intersections, along with objects like a, b, c, f, f', d, P, Q, f'', e, g, h, text1, k, l, i, j, m, n, text2, text3, text4, T1, T2 for visualizing function graphs, derivative graphs, and extreme points. Suitable for high school and above students studying calculus.