MathDB
Minimum and maximum value of a sum

Source: Moldova NMO 2002 grade 8 problem nr.8

November 2, 2008
trigonometry

Problem Statement

Let x∈R x\in \mathbb R. Find the minimum and maximum values of the expresion: E\equal{}\dfrac{(1\plus{}x)^8\plus{}16x^4}{(1\plus{}x^2)^4}