Relative Maxima and Minima

1. What is Relative Maxima and Minima of Fucntion?

Relative maxima or minima is the maximum or minmun value of the function for given set of points.

2. What is Difference Between Relative Maxima and Absolute Maxima?

Relative maxima or minima is the maximum or minmun value of the function for given set of points whereas, absolute maxima or minima is the maximum or minimum value of the function for the entire domian.

3. How to Find Relative Maxima and Minima of Fucntion?

Relative maxima and mimima of the function is found using the steps added below,

Step 1: Find the derivative of the function.

Step 2: Equate the derivative value of the function with zero and get the critical value of the function.

Step 3: Use the second derivative test to check wether we have maxima or minima at critical points.

Step 4: Find the maximum or minimum value of function at critical points.

4. What are the Uses of Relative Maxima and Minima?

Relative Maxima and Minima is used to find the maximum or minimum value of the function for the given set of points.

Relative Minima and Maxima

Relative maxima and minima are the points defined in any function such that at these points the value of the function is either maximum or minimum in their neighborhood. Relative maxima and minima depend on their neighborhood point and are calculated accordingly. We find the relative maxima and minima of any function by using the first derivative test and the second derivative test.

In this article, we have covered Relative Maxima and Minima, methods to find relative maxima and minima, various examples, and others in detail. Before starting with Relative Maxima and Minima, first, learn in brief about Maxima and Minima.

Table of Content

What is Maxima and Minima?
What Is Relative Maxima and Minima?
How to Find Points of Maxima and Minima?
Recognizing Maxima and Minima
Steps to Find Relative Maxima and Minima