# NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2

NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2 AOD (Increasing – Decreasing) (Ex. 6.2) Application of Derivatives in Hindi Medium as well as English Medium for CBSE, Uttarakhand, Bihar and MP Board, UP Board for session 2021-22.

These solutions are for those students who are using NCERT Textbooks 2021-2022 as a course books. Download Offline Apps which works without internet. Hindi and English Medium videos solutions are also given below.## NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2

### 12th Maths Exercise 6.2 Solutions in Hindi & English

Class: 12 | Mathematics |

Chapter 6: | Exercise 6.2 |

### 12th Maths Exercise 6.2 Solutions

NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2 Application of Derivatives in English & Hindi medium free to use online or download to use it offline based on NCERT Books 2021-2022. In Exercise 6.2, we have to find out the first derivative of the function and then check whether it is positive or negative in the given set of values. Join the discussion forum to ask your doubts related to NIOS board or CBSE Board.

#### Class 12 Maths Chapter 6 Exercise 6.2 Solution in Videos

#### About 12 Maths Exercise 6.2

Class 12 Maths Exercise 6.2 is based on the concept whether a function is INCREASING or DECREASING in a given range. If the first derivative (as we have studies in Rate of Change Exercise 6.1) is positive in the given interval, the function is increasing but if it is negative, the function is decreasing. In case of Trigonometric Functions, we have to check the quadrant in which the function lies.

If for the increasing value of x, y is also increasing, the function is said to be increasing function. If the value of y is decreasing for increasing value of x, the function is said to be decreasing. For example: sin x is a increasing function in first quadrant but cos x is a decreasing function.

##### Feedback & Suggestions

We have updated all the NCERT Solutions 2021-22 based on new NCERT Books and following the latest CBSE Syllabus. If you have any suggestions or feedback about these updates, please inform us to resolve it. Join the Discussion forum to ask your queries related to education like NIOS or CBSE Board.

##### What is the core objective of exercise 6.2 of class 12th Maths?

The core objective of exercise 6.2 of class 12th Maths is to teach students the followings points:

- Increasing and decreasing functions.
- How to find the intervals in which the given function is strictly increasing.
- How to find the intervals in which the given function is strictly decreasing.
- How to find the intervals in which the given function is increasing.
- How to find the intervals in which the given function is decreasing.
- How to show that the given function is strictly increasing in the given interval.
- How to show that the given function is strictly decreasing in the given interval.
- How to show that the given function is increasing in the given interval.
- How to show that the given function is decreasing in the given interval.

##### Which problems of exercise 6.2 of class 12th Maths are expected for the first term board exams?

Exercise 6.2 of class 12th Maths has seven examples (examples 7, 8, 9, 10, 11, 12, 13) and 19 questions. All the problems of this exercise are important and can come in the board exam, but the most important problems of exercise 6.2 of class 12th Maths are examples 8, 9, 11, 13 and questions 6, 8, 9, 12, 13, 14, 19. Problems of exercise 6.2 can come in 4 marks in the board exams.

##### Can students prepare exercise 6.2 of class 12th Maths just in a day?

No, students can’t prepare exercise 6.2 in 1 day. Students need a maximum of 4 days to prepare exercise 6.2 of grade 12th Maths if they give 1-2 hours per day to this exercise. This time is an approximate time. This time depends on many things like student’s working speed, efficiency, capability, etc.

##### Is exercise 6.2 of class 12th Maths easy?

Exercise 6.2 of class 12th Maths is not easy and not complex. It lies in the mid of easy and hard because some examples and questions of this exercise are easy, and some are complex. However, the difficulty level of any topic/problem varies from student to student. So, exercise 6.2 of class 12th Maths is easy, or tough depends on students also. Some students find it complex, some find it simple, and some find it in the middle of easy and difficult.

##### How many definitions and theorems to solve questions of exercise 6.2 of 12th Maths?

There are two definitions and one theorem in section 6.3 of chapter 6 of 12th Maths that students can use to solve questions of exercise 6.2 of class 12th Maths.