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Gradient Vector Field

Gradient Vector Field
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2018-02-06 00:31
VectorFunctionCalculusDerivativeGraphing
This example demonstrates the gradient vector field of a function. Key mathematical concepts include vectors and derivatives. Using GeoGebra commands such as Point, Derivative, Vector, Sequence, and SolveODE, the gradient vector field is constructed. Suitable for high school calculus education and learning.

GeoGebra Commands & Parameters

  1. Point(g) → A
  2. Derivative(f, x) → f_x
  3. Derivative(f, y) → f_y
  4. Vector(A, A + (f_x(a, b), f_y(a, b))) → gradient
  5. Sequence(f(x, y) - k = 0, k, -4, 4, 0.5) → list1
  6. SolveODE(f_y(x, y), f_x(x, y), a, b, 4, 0.1) → numericalIntegral1