Given the function f (x) = alnx + 2 / x + X, 1, where a belongs to R. if a = 1, find the extreme point of F (x) 2. If f (x) increases in the interval [1, + infinity], find the value range of A

1) A = 1, f (x) = LNX + 2 / x + X, the domain is x > 0f '(x) = 1 / X-2 / X & # 178; + 1 = (X & # 178; + X-2) / X & # 178; = (x + 2) (x-1) / X & # 178; the extremum point x = 1, which is the minimum point, is f (1) = 0 + 2 + 1 = 32) f' (x) = A / X-2 / X & # 178; + 1 = (X & # 178; + AX-2) / X & # 178; when x > 1 increases monotonically, then

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