The Last Interval with an Extremum

★ 6/10functions Extrema calculus Monotonicity Estimation

Problem

The function

f(x) = \frac{\ln x}{x + 1}

has an extreme value on the interval $[t, +\infty)$ , where $t \in \mathbb{N}^*$ . Find the maximum possible value of $t$ .

Answer

Solution

Difficulty	6/10
Topics	functions, Extrema, calculus, Monotonicity, Estimation

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