Question: For each of the following functions, determine whether the given stationary point corresponds to a local minimum, local maximum, or saddle point. (a) f(x, y)

For each of the following functions, determine whether the given stationary point corresponds to a local minimum, local maximum, or saddle point.
(a) f(x, y) = y/x2 + x/y2 + xy (1, 1)
(b) f(x, y, z) = x3 + xyz + y2 - 3x (1, 0, 0)

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