Class XII Maths Tips for Board examination preparation – Application of Derivatives (Chapter 6)

Hope you have managed to complete the syllabus once from NCERT and started revision with Chapter 5. We also hope that you have made the study diary and are able to achieve the daily targets. Also, you must have made the formulae registers for Mathematics and other similar subjects. In case you missed my last article, check out Maths Preparation for Class 12 Board Exams (Oct-Nov Revision Plan).

Let us take up the next topic Application of derivatives (Chapter 6). As we have already mentioned, the total Calculus has 44 marks, out of which 20 marks are allotted to chapters 5 and 6. Normally 8-12 marks are allotted to chapter 5. So, you can again expect 8-12 marks for this chapter 6. You should definitely expect one 6-mark question in this topic. In most cases, you’ll find one 4-mark question also. 1-mark questions (one or two nos) may or may not be there depending on the marks of chapter 5.

Your target time for first revision should be 6 hours appx for the five exercises (6.1 to 6.5) and the Misc exercise and also little bit of previous years’ questions from reference book (if time permits).

Some important questions from NCERT are as follows:

Exercise number Important Examples Important Questions
Ex 6.1: example 2, 4 Question 5, 8, 10, 11, 14, 18
Ex 6.2: examples 8, 12, 13 Questions 5, 6e, 9, 11, 14, 16, 18
Ex 6.3: examples 16, 18, 20 Questions 8, 12, 14-v, 15, 18, 21, 23, 25, 27
Ex 6.4: Examples 25 Questions 1(ii), (v), (x), (xv); 3, 5, 8
Ex 6.5: examples 31, 35, 36, 37, 38, 41 [important exercise] Questions 1(i), 2(iv), 3(iii), 6, 9, 11, 13, 17, 20, 21, 23, 24, 26, 28
Misc Ex 6 examples 43, 44, 45, 48, 51 [important exercise] Questions 2, 5, 6, 8, 11, 12, 14, 17, 18, 21, 23

This first revision of this topic should be completed by 10th -12th Nov. So, get going!


  • Study plan should be pre defined. There are two ways of utilizing the daily 5 hours study till the schools are closed. Either you study two subjects daily for 2.5 hrs each or you give 1 hour each to five subjects. In first case, you must have a routine for the entire week for rotation of the subjects. Follow whatever you are comfortable with.
  • Take a break when needed! Take a small break after about every 1.5 hrs. Listening to soft music or having a stroll is a good option.
  • Avoid distractions. Use mobile phone as a necessity only, not for chatting and what’s apping. Social networking – not now – become little unsocial. However, keep track of the different competitive examination forms.

Study Resources for CBSE Class 12 Mathematics Chapter 6 – Application of Derivatives (AOD)

NCERT Class 12 – Mathematics, Chapter 6 Theory and Examples |  Solutions .

Also, practice CBSE Sample Papers for Class 12.

This article is a part of our How to prepare for CBSE Class XII Board Exams guide. For more article, check out the links below.

If you have any queries, please ask in comments below.

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