Visualizing Derivatives on a Function Graph

This GeoGebra example demonstrates the geometric meaning of derivatives on a function graph, showing how the tangent line at a moving point represents the instantaneous rate of change. Core mathematical concepts include derivative, tangent slope, function graphing, and fractional representations. Construction highlights: the Derivative command generates the derivative function f' from the original function f; Point creates a dynamic point A on the curve; tangent lines and text objects (text1, text2) display numerical values; a cuboid is included as an auxiliary geometric object, possibly for a 3D context. Suitable for high school and introductory college calculus students, this interactive tool supports classroom demonstrations or self-guided exploration of how derivatives relate to function behavior.