Linearization Checker (Calculus) – Interactive Tangent Approximation Tool

① This applet demonstrates the linearization of a function in calculus, allowing users to input a function, a center a, and an increment dx to see how the tangent line approximates the function locally. ② Core mathematical concepts include derivatives, tangent lines, linear approximation, local linearity, and error estimation. ③ Construction highlights: uses GeoGebra commands Tangent, Slope, Intersect, Textfield, Vector, Distance, and Segment, with input boxes and text objects to create an interactive checker. ④ Suitable for university calculus courses or AP Calculus, this tool helps students visualize and verify linear approximations and understand the role of the derivative in local behavior.