Gradient and Directional Derivatives Demo

This example demonstrates the geometric meaning of gradients and directional derivatives in three-dimensional space for a function. Key math concepts include gradient, directional derivative, tangent line, vector operations, and 3D graphics. Construction highlights involve GeoGebra commands like Derivative for calculating derivatives, Textfield for displaying text, Translate for shifting, Vector for creating vectors, Sequence for generating sequences, ImplicitCurve for drawing implicit curves, and IntersectPath for finding intersections. Suitable for university mathematics, calculus courses, teaching, or self-study to understand the differential properties of multivariable functions.