Derivative Demonstration by Sam Inge

This example demonstrates the geometric meaning of derivatives by dynamically showing the change in the slope of a tangent line and the area of a trapezoid to reveal the concept of limits. It involves core mathematical concepts such as derivatives, trapezoids, limits, unit circle, and differential calculus. The construction uses Slider commands to dynamically adjust parameters, observing changes in the tangent slope and trapezoidal area, combined with the Unit Circle and Graphing features. It is suitable for high school students and above to learn and understand basic calculus concepts, or for classroom demonstrations.