First and Second Derivatives Exploration

This example allows exploration of the first and second derivatives of a function and their geometric significance. Key math concepts include the definition of derivatives, the behavior of function graphs, and concavity determination. Construction highlights: Utilizes GeoGebra commands/objects like Derivative (for differentiation), Point, If, Textfield; objects include f (function), f', f'' (derivatives), A, B, C (points), color variables (blue1, blue2, red2, red1, green1, green2), a, b (variables), button1, button2 (buttons), D, E (points), inputBox1 (input box). Suitable for high school and above students learning calculus.