Applications of Maxima and Minima

What are Maxima and Minima of a Function?

The maxima and minima are the most used applications of the derivatives. The maxima and minima provide us with the peaks and valleys of a function. Below we will discuss the maxima and minima of the function in depth and explore the different types of maxima and minima....

Types of Maxima and Minima

There are two types of maxima and minima. They are listed as follows:...

Relative Maxima and Minima

The relative maxima or relative minima is the maximum and minimum value which is greater than or lesser than its neighbor....

Absolute Maxima and Absolute Minima

The absolute maxima and the absolute minima is the highest or the lowest value in the entire domain of the function....

Absolute vs Relative Maxima and Minima

The difference between absolute and relative maxima and Minima is tabulated below:...

How to Find Maxima and Minima?

We can find maxima and minima of the function by differentiating it. To find the maxima and minima of a function we apply some derivative tests : First Order derivative test and Second Order derivative test. In these tests we differentiate the function and by checking some conditions we get the maxima and minima point of the function....

Some Derivative Tests

To find the maxima and minima we use some derivative tests. The following are the two derivative tests to find maxima and minima....

Applications of Maxima and Minima

There are many applications of maxima and minima in real-life. Some of these are listed below:...

Maxima and Minima Examples

Example 1: Find the local maxima and local minima for the function y = x3 – 3x + 2...

Practise Problems on Maxima and Minima

Problem 1: Find the maximum and minimum values of the function f(x) = 2x3 – 3x2 – 12x + 1 on the interval [-2, 3]....

Maxima and Minima – FAQs

1. What is Maxima and Minima of a Function?...