Question: Consider the following unconstrained optimization problem min. f(x1,2)=2x - xx2+x-3x+2x+2 (1) (a) Write the first order necessary optimality conditions. Is this condition also sufficient

Consider the following unconstrained optimization problem min. f(x1,2)=2x - xx2+x-3x+2x+2 (1) (a) Write the first order necessary optimality conditions. Is this condition also sufficient for optimality? Justify your answer. (b) Is=(0,0) an optimal solution? If not, provide the conditions that must be satisfied by a direction d along which the function would decrease. (c) What is the minimum for f in the direction d = (1,0) from = (0, 0)?

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