I understand that we need to use the Hessian and see if it positive semidefinite to determine convexity.
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[30 points] For each of the following function, determine whether it is convex or concave
or neither or both.
(a) f(21,22) = x + x4
(b) f(21,02) = axi + ebuy with a, b ER
(c) f(21,22) = x; log(81) + x2 log(x2) on R?
(d) f(x1, x2) = x1x2 on R?
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