Does f(x, y) = yx² – 2x² – y² have any local extrema or saddle points? If so, identify them; if not, say why not. It may be helpful in this problem to recall the Hessian of a function f (x, y): |fex...

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Extracted text: Does f(x, y) = yx² – 2x² – y² have any local extrema or saddle points? If so, identify them; if not, say why not. It may be helpful in this problem to recall the Hessian of a function f (x, y): |fex fry| fay fyyl (the vertical bars denote a determinant)