Exponential Function and Derivative Demo

This example demonstrates the relationship between the graph of an exponential function f(x)=a^x and its derivative f'(x)=a^x*ln(a). Key math concepts include exponential functions, derivatives, natural logarithm ln(a), and function graph transformations. GeoGebra commands used are Point for creating points, object f for the function, text2 for displaying text, and B, C, A, D for key geometric elements. Suitable for high school mathematics teaching to understand exponential function properties and derivative applications.