Derivative Function Demo

This example demonstrates how to dynamically visualize the relationship between a function and its derivative through interactive constructions. Key math concepts include derivatives, tangents, slopes, and function graphs. GeoGebra commands like Textfield, Point, OrthogonalLine, Intersect, Tangent, Segment, Slope, and Derivative are used to construct the original function f and its derivative f', with dynamic interactions showing tangent lines and slope variations. Suitable for high school and above students learning calculus to understand the geometric and physical meaning of derivatives.