Dynamic Relationship between Derivative and Original Function

This example dynamically demonstrates the graphical relationship and variation patterns between a derivative function and its original function. Core math concepts involved include derivatives, original functions, tangent slope, and monotonicity. Construction highlights: utilizes GeoGebra commands such as Textfield and Derivative, with objects like f, InputBox1, a, f', and text1, achieving interactivity through input boxes and derivative calculations. Suitable for high school or college introductory calculus courses to visually understand the geometric meaning of derivatives.