One Extreme Point Only

★ 7/10functions Extrema calculus Substitution Monotonicity

Problem

The function

f(x) = (x - 1)\mathrm{e}^x - \frac{a}{2}\mathrm{e}^{2x} + ax

has exactly one extreme point. Find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Extrema, calculus, Substitution, Monotonicity

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