First & Second Derivative Interactive Demo

This example demonstrates how the graphs of a function's first and second derivatives change dynamically with parameters. It covers core calculus concepts such as the definition of the derivative, derivative graphs, concavity, and inflection points. Construction highlights: the GeoGebra Derivative command is applied to function f to obtain g and h, while points a, P, F, S and text objects text1‑text3 display real‑time values and geometric relationships. Suitable for high‑school calculus electives, introductory university calculus lectures, and self‑study exploration.