A Difference of Radicals Below

★ 7/10functions Substitution algebra AM-GM

Problem

Let $a > b > 0$ . Find the maximum value of

f(x) = \frac{x}{\sqrt{a - x^2} - \sqrt{b - x^2}}.

Answer

Solution

Difficulty	7/10
Topics	functions, Substitution, algebra, AM-GM

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