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3D Partial Derivatives Example

3D Partial Derivatives Example
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2017-03-02 08:27
FunctionCalculusDerivative
This example demonstrates partial derivatives in 3D space. Key mathematical concepts include the methods of calculating partial derivatives. The construction uses commands like Polygon and CurveCartesian in GeoGebra. Suitable for calculus courses.

GeoGebra Commands & Parameters

  1. Polygon(B, A, C, D) → poly1, b_1, a_1, c, d
  2. CurveCartesian(t + x0, y0, ((-0.5 * x0) * t) + f(x0, y0), t, -6, 6) → m
  3. CurveCartesian(t, y0, (-0.25 * t^(2)) + (0.5 * y0) + 4, t, -6, 6) → k
  4. Polygon(E, F, H, G) → poly2, e, f_1, h, g
  5. CurveCartesian(x0, t + y0, (0.5 * t) + f(x0, y0), t, -6, 6) → a