Exploring the Gradient of Exponential Functions

This example demonstrates the shape and properties of the gradient function of exponential functions y = a^x, focusing on the derivative and its geometric interpretation. Key math concepts include exponential functions, derivatives, tangent slopes, and function graphs. It is constructed using GeoGebra commands like Tangent and Slope, with objects such as a (base), f (function), p (point), P (tangent point), t (tangent line), s (slope), Q (auxiliary point), text2, text3, button1, and button2. Suitable for high school mathematics education to understand the geometric meaning and variation patterns of exponential function derivatives.