Copy of Implicit Differentiation: Intro

This interactive GeoGebra example provides an introductory visualization of implicit differentiation by dynamically showing the tangent line and its slope at a point on a curve defined by an implicit equation. The core mathematical concepts include implicit functions, derivatives, tangent slopes, and local linear approximation. The construction uses GeoGebra commands such as Center, CircleArc, Tangent, Slope, Point, Segment, and Textfield, along with objects like points, segments, tangent lines, slope values, text boxes, and buttons to allow users to adjust parameters and observe how the slope changes. This resource is ideal for high school or early college calculus students who want to build intuition about why implicit differentiation works and how the derivative of an implicit equation yields the slope of the tangent line at any given point.