Given the function f (x) = ax ^ 2 + 2lnx, (a belongs to R), the monotonicity of function f (x) is discussed

Given the function f (x) = ax ^ 2 + 2lnx, (a belongs to R), the monotonicity of function f (x) is discussed

First, the domain of F (x) is (0, positive infinity)
1) When a = 0, f (x) = 2lnx, so the increasing interval is (0, positive infinity)
2) When a > 0, f '(x) = 2aX + 2 / x = (2aX ^ 2 + 2) / x > 0, so the increasing interval is (0, positive infinity)
3)a

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