Visualizing Directional Derivatives

This example demonstrates the geometric interpretation of directional derivatives by dynamically showing the tangent plane and direction vector at a point on a function, intuitively presenting the concept of directional derivatives. Core mathematical concepts include partial derivatives, directional derivatives, gradients, tangent planes, and vector operations. It utilizes commands and objects like PointIn, Derivative, Line, Vector, Circle, Point, OrthogonalPlane, IntersectPath from GeoGebra. Suitable for university calculus courses or self-study to understand the core ideas of multivariable differential calculus.