[Solved] Let (2\\alpha,\\alpha) be the largest interval in which the function f(t)=\\frac{|t+1|}{t^{2}},t < 0, is strictly decreasing. Then the local maximum value of the function g(x)=2\\log_{e}{x-2}+ax^{2}+4x-\\alpha,x > 2, is______. - - NTA JEE Mains 24th Jan 2026 Shift 1