Graph the derivative using the slope of the tangent line by Hannah Lewis

This example demonstrates how to graph the derivative of a function by calculating the slope of the tangent line at various points on the function's graph. The core mathematical concepts involved include the geometric meaning of the derivative (slope of the tangent line) and the local rate of change of a function. Key construction steps involve using GeoGebra commands like Tangent, Slope, and Textfield to dynamically display the slope of tangents and the corresponding derivative graph. It is suitable for high school calculus入门 students to visually understand the relationship between a function's graph and its derivative.