Numerical Derivative Calculation Interactive Demo

This GeoGebra example demonstrates how to numerically compute the derivative of a function at a given point. It uses the difference quotient formula (f(x0+Δx)-f(x0))/Δx to approximate the derivative, allowing users to adjust x0 and Δx via input boxes to observe how the approximate slope changes. The core mathematical concepts include the definition of the derivative, difference quotients, limits, and numerical approximation methods. The construction uses commands such as TableText to generate data tables, Textfield for input boxes, and defines objects like text2, Δx, x_0, f, listX, listSlope, listY, listΔY, listΔX to store and display the computation steps. It is suitable for high school or early college students learning calculus, helping them understand the derivative concept and numerical computation, and can also serve as a classroom demonstration tool for teachers.