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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

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    https://brainmass.com/math/graphs-and-functions/how-to-classify-the-critical-points-13917

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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.

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