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Directional Derivative by Esteban Diaz UTA

Directional Derivative by Esteban Diaz UTA
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2019-02-27 00:17
VectorFunctionCalculus
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 Vector, IntersectPath, and CurveCartesian. Suitable for calculus and multivariable function learners.

GeoGebra Commands & Parameters

  1. Vector(C) → u
  2. IntersectPath(a, f) → b
  3. CurveCartesian(x(B) + (t * x(D)), y(B) + (t * y(D)), z(B) + (t * z(D)), t, -10, 10) → d

AI Drawing Prompt Reference

Draw the rate of change of a function at a point in a specific direction. First, create a vector to represent that direction. Then, find the tangent line of the function at that point. Finally, draw a curve to represent the rate of change in that direction.
The prompt above was compiled from the original drawing commands and is for reference only.