A Shifted Crossing Range

★ 8/10Extrema calculus Monotonicity Symmetry

Problem

Let $A(x_1, y_1)$ and $B(x_2, y_2)$ be two distinct intersection points of the graphs of

f(x) = \frac{\ln x}{x} \qquad \text{and} \qquad g(x) = \frac{k}{x^2}.

Find the range of possible values of $f(x_1 + x_2)$ .

Answer

Solution

Difficulty	8/10
Topics	Extrema, calculus, Monotonicity, Symmetry

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