Derivative as a Function Demo

This example demonstrates how to dynamically construct tangent slopes to visualize the derivative function of a given function. It involves core mathematical concepts such as derivatives, similarity transformations, function graphs, median values, frequency distributions, and exponential functions. The construction uses GeoGebra commands/objects like Tangent, Slope, Textfield, f (function), X (variable), d (derivative), a (parameter), m (slope), g (graphics), c (color), e (object), inputBox1 (input box), and text1 (text object). Suitable for high school calculus education to intuitively understand the geometric and physical meaning of derivatives.