When a Maximum Exists

★ 7/10Extrema calculus Monotonicity Logarithms

Problem

The function

f(x) = x\ln x - ax^2 - x + 1

attains a maximum value. Find the range of possible values of $a$ .

Answer

Solution

Difficulty	7/10
Topics	Extrema, calculus, Monotonicity, Logarithms

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