MathDB
maximum value

Source: Ukraine 1997 grade 10

July 21, 2009
functiontrigonometryalgebra unsolvedalgebra

Problem Statement

Find the maximum value of the function: f(x)\equal{}\frac{x}{x^2\plus{}9}\plus{}\frac{1}{x^2\minus{}6x\plus{}21}\plus{}\cos {2 \pi x}, x>0.