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[Gaussian Curvature] Consider the function f(x, y) =x^3 6xy y^2. Determine what regions of R^2 this function has positive or negative curvature. (Use the fact

[Gaussian Curvature] Consider the function f(x, y) =x^3 6xy y^2. Determine what regions of R^2 this function has positive or negative curvature. (Use the fact that the Gaussian curvature has the same sign as the Hessian determinant at each point.) Use Geogebra3d to graph the surface and verify your answer.

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