3D Derivative and Tangent Interactive

This GeoGebra interactive visualizes the derivative as a tangent line to a function curve in three-dimensional space, linking algebraic differentiation with geometric representation. It demonstrates how the derivative defines local linear approximation, using commands such as Point, Derivative, Circle, Tangent, Intersect, and Segment to construct tangent circles, intersection points, and associated planes alongside functions f and g and their derivatives g'. The model explores the relationship between curves, tangent circles, and planes in 3D, making it suitable for calculus and multivariable geometry education. It helps learners transition from 2D derivative concepts to spatial analysis, supporting both classroom demonstration and independent exploration of geometric approximation.