Directional Derivative Demo by Esteban Diaz UTA (2)
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This example demonstrates the geometric interpretation of directional derivatives by dynamically showing the rate of change of a function at a point along any direction using vectors. Key mathematical concepts include directional derivatives, gradients, vector operations, and function graphs. It utilizes GeoGebra commands like Ray, CurveCartesian, Vector, Line, and objects such as f (function), A/B (points), g/C/D (auxiliary objects), and a/t/E/u/h (variables). Suitable for high school students and above, particularly those studying calculus to understand the intuitive concept and calculation of directional derivatives.
GeoGebra Commands & Parameters
Ray(A, B) → gCurveCartesian((x(A) + (s * x(C)), y(A) + (s * y(C)), f(x(A) + (s * x(C)), y(A) + (s * y(C)))), s, 0, 10) → aVector(A, B) → uLine(D, E) → h