Derivative of e^x: Visualizing Tangent Slope and Function

① This GeoGebra example dynamically illustrates the derivative of the exponential function e^x, showing that its derivative graph exactly coincides with the original function. ② The core mathematical concepts are the geometric meaning of the derivative (the slope of the tangent line at a point) and the unique property that the derivative of e^x equals itself. ③ Construction highlights: using the Derivative command to generate f', the Line command to construct the tangent line L at a moving point P, and the Slope command to compute its slope m; a slider or point Q controls the position of P, dynamically linking the slope value to the derivative function's value. ④ Suitable for senior high school or introductory college calculus students to grasp the definition of derivative, properties of exponential functions, and the relationship between tangent slope and derivative; also an effective visual aid for classroom demonstrations.