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Multivariable CalculusEasyOptimization & Lagrange Multipliers

Optimization & Lagrange Multipliers · Easy problem

The point (1,0)(1, 0) is a critical point of f(x,y)=x3−3x+y2f(x,y) = x^3 - 3x + y^2. Compute the discriminant D=fxxfyy−fxy2D = f_{xx}f_{yy} - f_{xy}^2 of the second derivative test at this point.