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Critical Points of multivariable functions

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Determine the critical points of the function:
f(x1, x2) = (2 - x1 - x2)^2 + (1 + x1 + x2 - x1*x2)^2.
Try to decide their nature.

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Solution Summary

The solution shows how to find and characterize the critical Points of multivariable functions. The solution is well presented and detailed.

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