Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s) of the function. Then use

Question

Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s) of the function. Then use calculus to find these values precisely. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
f(x, y) = x² + y² + x⁻²y⁻² + 3
local maximum value(s)
local minimum value(s)
saddle point(s) (x, y) =

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