A Unique Zero in $(0,1)$

★ 6/10functions Extrema calculus Monotonicity

Problem

The function $f(x) = ax^2 + x + 1 - \mathrm{e}^x$ has a unique zero in the interval $(0, 1)$ . Find the range of possible values of the real number $a$ .

Answer

Solution

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

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