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    Critical Points (Local Maximum, Local Minimum, Saddle Points)

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    (a) Find all the critical points of f = xy + yz - zx + xyz (Hint: set f = 0)
    (b) Classify the critical point of f as local maximum, local minimum or saddle points.

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    © BrainMass Inc. brainmass.com December 24, 2021, 5:08 pm ad1c9bdddf
    https://brainmass.com/math/optimization/critical-points-local-maximum-local-minimum-saddle-points-30746

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    Q (a) Find all the critical points of f = xy + yz - zx + xyz (Hint: set f '= 0)
    Grad f = i(y -z + yz) + j(x + z + xz) + k(y - x + xy) = 0
    Therefore,
    y - z + yz = 0...(i)
    x + z ...

    Solution Summary

    The solution determines the critical points with details provided.

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