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Directional Derivatives and Tangent Plane by Justin Almeida

Directional Derivatives and Tangent Plane by Justin Almeida
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2020-05-28 22:22
FunctionCalculusDerivative
This example illustrates the concepts of directional derivatives and tangent planes. Key mathematical concepts include derivatives and tangent planes. Using GeoGebra commands such as IntersectPath and Tangent, the tangent plane to a function can be constructed. Suitable for university calculus courses.

GeoGebra Commands & Parameters

  1. IntersectPath(eq1, f) → eq2
  2. IntersectPath(g, f) → eq3
  3. Tangent(B, f_{y}) → h
  4. Tangent(C, f_{x}) → i
  5. IntersectPath(eq4, eq1) → j
  6. IntersectPath(g, eq4) → k

AI Drawing Prompt Reference

Draw the gradient vector and directional derivatives of a function, and construct the tangent plane at point A. First, find the intersection points of the function with paths, then use these points to construct tangents, and finally construct the tangent plane using these tangents.
The prompt above was compiled from the original drawing commands and is for reference only.