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Partial Derivatives and Surfaces

Partial Derivatives and Surfaces
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2017-02-22 00:46
VectorFunctionSolid GeometryCalculusDerivative
This example illustrates the relationship between partial derivatives and surfaces. Key mathematical concepts include partial derivatives and surfaces. Using GeoGebra commands for objects f, g, b, a, it dynamically shows the surface and its partial derivatives. Suitable for university calculus courses.

GeoGebra Commands & Parameters

  1. f(x, y) = (x^(3) * y^(2)) + ((3 * x^(2)) * y^(3)) - (x * y) + 4
  2. g(x, y) = x^(2)
  3. Numeric b(3)
  4. y = b