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NVAMediumJEE Main 2026 · 24 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2026 · 24 January, Shift 1

Let (2α,α)(2\alpha,\alpha) be the largest interval in which the function f(t)=∣t+1∣t2,  t<0f(t)=\frac{|t+1|}{t^2},\; t<0 is strictly decreasing. Then the local maximum value of the function g(x)=2log⁡e(x−2)+αx2+4x−α,  x>2g(x)=2\log_e(x-2)+\alpha x^2+4x-\alpha,\; x>2 is

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