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    How to classify the critical points

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    Find and classify the critical points in the function: f(x, y) = x^2 + 4xy + 2y^2 + 4x - 8y + 3

    © BrainMass Inc. brainmass.com November 24, 2022, 11:41 am ad1c9bdddf

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    Solution. Let fx=2x+4y+4=0, fy=4x+4y-8=0. Solving them, we get
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    Solution Summary

    The solution contains the standard way to find and classify the critical points of a function.