Journal of Environmental Science and Agricultural Research

Practical Problems with Function Extremes

Bianca-Elena Burlacu*, Andra-Silvia Dumbrava, Matei-Ioan Somesan and Cosmin-Constantin Nitu

ABSTRACT
Let f: D  ℝn → ℝ be a function and f(x) ≤ f(a) x D a D a point. We say that a is a maximum (or a minimum) point for the function f if f(x) ≥ f(a) (or . A maximum or a minimum point of a function is called an extreme point. In this paper we use the algorithms for determining the local extremes (conditional or unconditional) of a function to solve a variety of problems, mostly practical. These powerful methods are very useful and should be mastered by all students.