Practice Questions on Absolute Maxima and Minima
Q1: Find the absolute extreme points of a function f(x) = 2x3 – 3x2 + 5 in the interval [-2, 2]
Q2: Find the absolute maxima and minima of function f(x) = 2sin x + cox in the interval [-1, 1]
Q3: Find the absolute extreme points of function f(x) = log x in the interval [-1, 1]
Absolute Minima and Maxima
Absolute Maxima and Minima are the maximum and minimum values of the function defined on a fixed interval. A function in general can have high values or low values as we move along the function. The maximum value of the function in any interval is called the maxima and the minimum value of the function is called the minima. These maxima and minima if defined on the whole functions are called the Absolute Maxima and Absolute Minima of the function.
In this article, we will learn about Absolute Maxima and Mimima, How to calculate absolute maxima and minima, their examples, and others in detail.
Table of Content
- What are Absolute Maxima and Minima?
- Critical Points and Extrema Value Theorem
- Extrema Value Theorem
- Absolute Minima and Maxima in Closed Interval
- Absolute Minima and Maxima in Entire Domain
- What are Local Maxima and Minima?