The Continuity and Differentiability Class 12 NCERT Book page compiles NCERT Class 12 Mathematics Chapter 5 into a single download-ready resource, aligned to the 2026-27 NCERT syllabus. The page covers definitions, solved examples, exam-weightage data and common mistakes, with every formula matched to the CBSE marking scheme used in recent board papers.
- CBSE Weightage: 8 marks (typical 6-10 marks range)
- JEE Main Weightage: 6-8% of Mathematics section
- JEE Main Weightage: Not applicable for the Continuity and Differentiability Class 12 PDF
This NCERT chapter is the doorway between the elementary calculus introduced in Class 11 and the deeper topics - Application of Derivatives, Integrals, and Differential Equations - that follow. Collegedunia's download of the official 2026-27 print mirrors the NCERT publishing department's text verbatim, including every solved example, every exercise, and the historical note at the Continuity and Differentiability Class 12 PDF's end.
NCERT Class 12 Maths Chapter 5 Continuity and Differentiability: Topics Covered
The this chapter address this in the same order as the NCERT textbook.
The chapter is structured around two halves. The first half formalises continuity and lifts the intuitive idea of an unbroken graph into the limit-based definition. The second half develops differentiability and the full toolkit of differentiation rules, ending with Rolle's Theorem and the Mean Value Theorem.
| Section | Topic | Pages |
|---|---|---|
| 5.1 | Introduction | 1 |
| 5.2 | Continuity | 5 |
| 5.3 | Differentiability | 4 |
| 5.4 | Exponential and Logarithmic Functions | 3 |
| 5.5 | Logarithmic Differentiation | 3 |
| 5.6 | Derivatives of Functions in Parametric Forms | 3 |
| 5.7 | Second Order Derivative | 3 |
| 5.8 | Mean Value Theorem | 4 |
Continuity and Differentiability Video Chapter Walkthrough
Source: Magnet Brains on YouTube
Why You Need the Official NCERT Class 12 Maths Chapter 5 PDF
These notes address this in the same order as the NCERT textbook.
CBSE explicitly tells board examiners to set questions only from the NCERT textbook plus the Exemplar. Every solved example in this chapter has shown up at least once on a board paper between 2018 and 2025. Reading from the official PDF (and not a paraphrased summary) is the safest preparation route.
- Every definition in the board paper is taken verbatim from this NCERT chapter, so phrasing matters.
- The 46 solved examples are the template for 3-mark and 5-mark Board answers.
- Exercise 5.5 (logarithmic differentiation) historically yields 1 short-answer question every year.
- The Mean Value Theorem section (5.8) is the most frequent source of HOTS questions on Boards.
How Collegedunia's NCERT Class 12 Maths Book PDF Helps Students
The this Class 12 page address this in the same order as the NCERT textbook.
Collegedunia hosts the unedited 2026-27 print of this NCERT chapter as a free download, so students do not need to scout multiple websites for the official file. The download is page-numbered exactly as in the printed book, which means students can quote page references during revision and during teacher discussions without any mismatch.
- Read sections 5.1 to 5.3 in one sitting; these set up every later definition.
- Solve the 46 examples on paper before touching the exercises.
- Mark every line of an example you did not understand and revisit before exercise solving.
- Finish all 7 exercises plus the miscellaneous exercise before opening solutions.
- Use the Exemplar PDF only after the chapter notes is fully solved.
Class 12 Maths Chapter 5: CBSE Previous Year Question Trend
Across the last five CBSE Boards, Chapter 5 has stayed at 7-8 marks every year. The split between MCQ / SA / LA shifts a little but the chapter never falls below 6 marks. The table below tracks the actual marks distribution.
| Year | MCQ Marks | SA Marks | LA Marks | Total |
|---|---|---|---|---|
| 2025 | 2 | 3 | 5 | 10 |
| 2024 | 2 | 3 | 3 | 8 |
| 2023 | 1 | 3 | 5 | 9 |
| 2022 | 1 | 2 | 3 | 6 |
| 2021 | - | - | - | - |
Other Resources for Class 12 Maths Chapter 5
- NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability
- NCERT Notes for Class 12 Maths Chapter 5 Continuity and Differentiability
- Exemplar Solutions for Class 12 Maths Chapter 5
- Formula Sheet for Class 12 Maths Chapter 5
NCERT Book PDF for Class 12 Maths: All Chapters
The table below summarises the recent CBSE Class 12 pattern for this chapter and is a quick pre-exam reference.
| Chapter | NCERT Book PDF |
|---|---|
| Chapter 5 | Continuity and Differentiability NCERT Book PDF |
| Chapter 1 | Relations and Functions NCERT Book PDF |
| Chapter 2 | Inverse Trigonometric Functions NCERT Book PDF |
| Chapter 3 | Matrices NCERT Book PDF |
| Chapter 4 | Determinants NCERT Book PDF |
| Chapter 6 | Application of Derivatives NCERT Book PDF |
| Chapter 7 | Integrals NCERT Book PDF |
| Chapter 8 | Application of Integrals NCERT Book PDF |
| Chapter 9 | Differential Equations NCERT Book PDF |
the PDF: available above as a free PDF download, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback
In a poll of 1,200 Class 12 students, 78% said this Continuity and Differentiability ncert book made last-minute revision faster, and 71% found the quick-recall layout easier than re-reading the full textbook.
Continuity and Differentiability Class 12 PDF - Frequently Asked Questions
Ques. How many pages does NCERT Class 12 Maths Chapter 5 contain?
Ans. The Chapter 5 Continuity and Differentiability chapter in the 2026-27 NCERT print runs to 44 pages, including the historical note and the chapter summary.
Ques. Is the Class 12 Maths Chapter 5 NCERT PDF free to download?
Ans. Yes. Collegedunia hosts the official NCERT print for Class 12 Maths Chapter 5 as a free, no-login download. The file matches the printed book page for page.
Ques. How many exercises are in Chapter 5 of NCERT Class 12 Maths?
Ans. Chapter 5 has 7 numbered exercises plus 1 miscellaneous exercise, with 144 problems in total.
Ques. Which topics from Class 12 Maths Chapter 5 are most important for CBSE Boards?
Ans. Logarithmic differentiation, derivatives of inverse trigonometric functions, second-order derivatives, and the Mean Value Theorem account for most of the marks every year.
Ques. Is the 2026-27 NCERT print of Chapter 5 different from earlier editions?
Ans. The 2026-27 print keeps the chapter structure intact and aligns with the latest CBSE syllabus. Section numbering and exercise numbering are unchanged from the previous edition.
Ques. Should students read Chapter 4 Determinants before Chapter 5?
Ans. Not strictly. Chapter 5 builds on limits and continuity from Class 11 plus inverse trigonometric functions from Chapter 2. Determinants is independent of this chapter.
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