Given the function f (x) = (KX + 1) / (x2 + C) (c > 0 and C is not equal to 1, K belongs to R), find the maximum value m and minimum value m of the function, and the value of K when M-M > = 1 Given the function f (x) = (KX + 1) / (x2 + C) (c > 0 and C is not equal to 1, K belongs to R), find the maximum m and minimum m of the function, and the value range of K when M-M > = 1

Given the function f (x) = (KX + 1) / (x2 + C) (c > 0 and C is not equal to 1, K belongs to R), find the maximum value m and minimum value m of the function, and the value of K when M-M > = 1 Given the function f (x) = (KX + 1) / (x2 + C) (c > 0 and C is not equal to 1, K belongs to R), find the maximum m and minimum m of the function, and the value range of K when M-M > = 1

F (x) = (KX + 1) / (x ^ 2 + C), from F '(x) = 0 to K (x ^ 2 + C) - 2x (KX + 1) = 0, KX ^ 2 + 2x CK = 0, when k ≠ 0, X1 = [- 1 + √ (1 + CK ^ 2)] / K, X2 = [- 1 - √ (1 + CK ^ 2)] / K. f' (x) = - K (x-x1) (x-x2) / (x ^ 2 + C) ^ 2, when k > 0, x.x2... X1... F '(x)... +. - f (x)... M = f (x1), M