Visualizing the Derivative by Josh Dimick

This interactive applet provides a visual demonstration of the derivative of an input function. It focuses on the core mathematical concepts of the rate of change, the slope of the tangent line, and the formal definition of the derivative. The construction utilizes GeoGebra's 'Derivative' command to compute the derivative function, 'Tangent' and 'Slope' commands to render the geometric representation of the derivative at a specific point, and 'Textfield' and 'InputBox' for user-defined function inputs. This tool is ideal for high school or early college calculus students to bridge the gap between algebraic differentiation and geometric intuition.