Given the function f (x) = x ^ 3 / 3, G (x) = T ^ (2 / 3) X-2 / 3T. (1) when t = 8, find the function f9x. When t > 0, f (x) > = g (x) has no effect on any real number Given the function f (x) = x ^ 3 / 3, G (x) = T ^ (2 / 3) X-2 / 3T. (1) when t = 8, find the monotone interval of the function y = f (x) - G (x); (2) prove that when t > 0, f (x) > = g (x) holds for any real number; (3) if there is a positive real number X., such that

Given the function f (x) = x ^ 3 / 3, G (x) = T ^ (2 / 3) X-2 / 3T. (1) when t = 8, find the function f9x. When t > 0, f (x) > = g (x) has no effect on any real number Given the function f (x) = x ^ 3 / 3, G (x) = T ^ (2 / 3) X-2 / 3T. (1) when t = 8, find the monotone interval of the function y = f (x) - G (x); (2) prove that when t > 0, f (x) > = g (x) holds for any real number; (3) if there is a positive real number X., such that

1. When t = 8, y = f (x) - G (x) = x ^ 3 / 3-T ^ (2 / 3) x + 2 / 3T = x & sup3 / / 3-4x + 16 / 3, ∧ y ′ = x ^ 2-4, let y ′ = 0, then the zero point of y ′ is x = ± 2. In the interval (- ∞, - 2), y ′ > 0, in the interval (- 2, + 2) y ′ < 0, in the interval (2, + ∞), y ′ > 0