Suppose f(): R" → R is a function. Consider the optimization problem min f(x) over XER". (P) #2) Suppose ƒ(-) € C¹ and solves (P) (i.e. Ñ € argmin(P)). (a) Explicitly, what does & € argmin(P) mean? (b) What is the first order necessary condition for X € argmin(P)? (c) Prove the first order necessary condition.

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