MathPlotAI Logo MathPlotAI

Partial Derivatives in 3D

Partial Derivatives in 3D
Loading the math board and drawing, please wait…
2015-08-21 00:37
FunctionCoordinate GeometrySolid GeometryCalculusDerivative
This example demonstrates partial derivatives in 3D space. It involves core concepts of partial derivatives and uses GeoGebra commands such as Derivative, Line, Segment, etc., to illustrate how to compute and visualize the partial derivatives of a 3D function. Suitable for university-level calculus courses.

GeoGebra Commands & Parameters

  1. Derivative(f, x) → a
  2. Derivative(f, y) → b
  3. Line(B, C) → c
  4. Line(B, D) → d
  5. Segment(B, E) → j
  6. Segment(C, E) → g
  7. Segment(B, F) → h
  8. Segment(D, F) → i
  9. Textfield(f) → inputBox1
  10. Textfield(A) → inputBox2
  11. Midpoint(B, E) → G
  12. Midpoint(D, F) → H
  13. Circle(A, 1, xOyPlane) → circle
  14. Point(circle) → J
  15. Vector(A, J) → u
  16. Vector((0, 0), (z(E) - z(B), z(D) - z(B))) → Grad_f
  17. Segment(B, K) → k
  18. Line(L, B) → l
  19. Segment(L, K) → n
  20. Midpoint(K, L) → I