Maxima and Minima
1. What is Maxima and Minima of a Function?
The maximum value of a function at any point is called as maxima of a function and the minimum value of a function at any point is called as minima of a function.
2. What is Point of Inflection?
The stationary point where second order derivative is equal to zero is called as the point of inflection.
3. How to find the Maxima and Minima of a Function?
To find the maxima and minima of a function, we use the first order derivative test and second order derivative test.
4. What are Types of Maxima and Minima?
The two types of maxima and minima are:
- Relative or Local Maxima and Minima
- Absolute or Global Maxima and Minima
5. Can there be more than one absolute maxima and absolute minima of a function?
No, there can be only one absolute maxima and absolute minima of a function.
6. What are the Topics Covered in Maxima and Minima Class 12?
In class 12, we lean about following topic related to Maxima and Minima:
- Local Maxima and Minima
- First Derivative Test
- Absolute Maxima and Minima
- Difference Between Local and Absolute Maxima/Minima
- Extreme Value Theorem
- Concavity
- Second Derivative Test
Maxima and Minima in Calculus
Maxima and Minima in Calculus is an important application of derivatives. The Maxima and Minima of a function are the points that give the maximum and minimum values of the function within the given range. Maxima and minima are called the extremum points of a function.
This article explores the concept of maxima and minima. In addition to details about maxima and minima, we will also cover the types of maxima and minima, properties of Maxima and Minima, provide examples of maxima and minima, and discuss applications of Maxima and Minima.
Table of Content
- Maxima and Minima of a Function
- Types of Maxima and Minima
- Relative Maxima and Minima
- Absolute Maxima and Minima
- How to Find Maxima and Minima?
- Applications of Maxima and Minima
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