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Directional Derivative by Alfredo Sánchez Alberca

Directional Derivative by Alfredo Sánchez Alberca
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2016-10-18 02:34
VectorFunctionCalculusDerivativeGeometric Construction
This example illustrates the concept of directional derivative. Using vector and function derivatives, it demonstrates the method of calculating directional derivatives. The construction involves commands like TextField, Derivative, Segment, Vector, Plane, and Line. Suitable for university calculus courses.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Derivative(f(x, y), x) → dfx
  3. Derivative(f(x, y), y) → dfy
  4. Segment(P, XYP) → p
  5. Segment(XYP, (0, Y)) → j
  6. Vector(O, A) → u
  7. Plane((a * (y - Y)) + (0 * z) = (b * (x - X))) → d
  8. Vector(XYP, XYP + A) → v
  9. Line((x(P), y(P), z(P)), Vector[(cos(((Angle / 360 * 2) * π)), sin(((Angle / 360 * 2) * π)), parder)]) → g