Derivatives, Stationary Points, and Inflexions

This example demonstrates how to graph the derivative of a function using GeoGebra and analyze the positions of stationary points and inflexions. The core mathematical concepts involved include the geometric meaning of derivatives, stationary points (where the first derivative is zero), and inflexions (where the second derivative is zero). Key construction steps involve using the Derivative command, objects like n, f, g, h, a, b, c, i, d, and controlling the display via buttons button1_1, button1_2, button1_3, button1_4. It is suitable for high school and above students to learn and understand basic calculus concepts, as well as for classroom demonstrations.