MathDB
The Maximum Value

Source: 1992 National High School Mathematics League, Exam One, Problem 12

February 27, 2020
function

Problem Statement

The maximum value of function f(x)=x43x26x+13x4x2+1f(x)=\sqrt{x^4-3x^2-6x+13}-\sqrt{x^4-x^2+1} is________.