Partial Derivative Representation

This example demonstrates the geometric representation of partial derivatives, showing the relationship between the tangent plane at a point on a function and its partial derivatives through dynamic graphics. It involves core mathematical concepts such as derivatives, reflection, trigonometry, real numbers, cylinders, and geometric distributions. The construction utilizes GeoGebra commands and objects like PointIn, IntersectPath, Tangent, Circle, Intersect, OrthogonalLine, and Vector. It is suitable for high school and above students to understand the intuitive meaning and spatial geometric representation of partial derivatives.