Guided Practice Module 4: Computer Simulation for First and Second Derivative

① This GeoGebra example demonstrates an interactive simulation for exploring the values of the first and second derivative of a function at a point, showing the tangent line and its changing slope. ② Core mathematical concepts include the derivative as a limit, the tangent line, the second derivative, and the relationship between derivative signs and function concavity. ③ Construction details: The Tangent command is used to create the tangent to function g at point A, with supporting objects a, A, d1, d2, d3, text1, and b to display derivative values and dynamic labels. Users can drag point A or adjust sliders to see real-time updates. ④ This is ideal for high school or early college calculus students, serving as a guided practice tool to build intuition about derivatives and their geometric interpretation.