Newton-Raphson Root Approximation

This GeoGebra example illustrates the Newton-Raphson iterative method for approximating roots of functions. Users can input initial guesses and iteration counts via interactive text fields and sliders, observing the convergence behavior and geometric interpretation of each step. Core mathematical concepts include derivative computation, iterative root-finding formulas, and numerical analysis. The construction utilizes GeoGebra objects such as Textfield, InputBox, num, root, result, and iterations to enable dynamic parameter control and result display. It is suitable for high school enrichment and university-level calculus or numerical analysis courses.