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Directional Derivative by Paul Belliveau

Directional Derivative by Paul Belliveau
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2019-04-04 20:45
VectorFunctionDerivative
This example illustrates the concept of directional derivative. By combining vectors and functions, it shows how to calculate the rate of change of a function at a point in a specific direction. The construction uses commands like Derivative, Vector, Circle, suitable for teaching and learning in calculus courses.

GeoGebra Commands & Parameters

  1. Derivative(f(x, y), x, 1) → f_{x}
  2. Derivative(f(x, y), y, 1) → f_{y}
  3. Vector(A, B) → u
  4. Vector(A, C) → v
  5. Vector(A, D) → w
  6. Circle(A, D, z = 0) → e

AI Drawing Prompt Reference

Draw the partial derivatives of a function, and two vectors v and w starting from point A. Use point A as the center of a circle e, with point D on the circumference. Finally, show the partial derivatives in the x and y directions, f_x and f_y.
The prompt above was compiled from the original drawing commands and is for reference only.