Exponential Functions - Gradient: Tangent Slope Visualization

This GeoGebra example dynamically illustrates the slope of the tangent line at a movable point on an exponential function graph, revealing the geometric meaning of the derivative for exponential functions. Core mathematical concepts include exponential functions, derivatives (tangent slope), and dynamic point tracking on a curve. Construction highlights: the Tangent command creates the tangent line to the function f at point P, the Slope command computes and displays the slope value, and LaTeX text objects (text1, text2, text3) label the function expression, point coordinates, and slope. A draggable point or slider allows users to change the tangent position interactively. Suitable for high school or introductory college calculus students to explore derivative properties of exponential functions, and useful for classroom demonstrations or self-paced learning.