Read and download the Chapter 5 Continuity and Differentiability PDF from the official NCERT Book for Class 12 Mathematics. Updated for the 2025-26 academic session, you can access the complete Mathematics textbook in PDF format for free.
NCERT Class 12 Mathematics Chapter 5 Continuity and Differentiability Digital Edition
For Class 12 Mathematics, this chapter in NCERT Book Class 12 Maths Continuity and Differentiability provides a detailed overview of important concepts. We highly recommend using this text alongside the NCERT Solutions for Class 12 Mathematics to learn the exercise questions provided at the end of the chapter.
Chapter 5 Continuity and Differentiability NCERT Book Class Class 12 PDF (2025-26)
5.1 Introduction
This chapter is essentially a continuation of our study of differentiation of functions in Class XI. We had learnt to differentiate certain functions like polynomial functions and trigonometric functions. In this chapter, we introduce the very important concepts of continuity, differentiability and relations between them. We will also learn differentiation of inverse trigonometric functions. Further, we introduce a new class of functions called exponential and logarithmic functions. These functions lead to powerful techniques of differentiation. We illustrate certain geometrically obvious conditions through differential calculus. In the process, we will learn some fundamental theorems in this area.
5.2 Continuity
We start the section with two informal examples to get a feel of continuity. Consider the function
This function is of course defined at every point of the real line. Graph of this function is given in the Fig 5.1. One can deduce from the graph that the value of the function at nearby points on x-axis remain close to each other except at x = 0. At the points near and to the left of 0, i.e., at points like – 0.1, – 0.01, – 0.001, the value of the function is 1. At the points near and to the right of 0, i.e., at points like 0.1, 0.01,
Please refer to attached file for NCERT Class 12 Maths Continuity and Differentiability
| NCERT Book Class 12 Maths Relations and Functions |
| NCERT Book Class 12 Maths Inverse Trigonometric Functions |
| NCERT Book Class 12 Maths Matrices |
| NCERT Book Class 12 Maths Determinants |
| CBSE Book Class 12 Maths Continuity and Differentiation |
| NCERT Book Class 12 Maths Continuity and Differentiability |
| NCERT Book Class 12 Maths Application of Derivatives |
| CBSE Book Class 12 Maths Integrals |
| NCERT Book Class 12 Maths Integrals |
| NCERT Book Class 12 Maths Application of Integrals |
| NCERT Book Class 12 Maths Differential Equations |
| CBSE Book Class 12 Maths Vector Algebra |
| NCERT Book Class 12 Maths Vector Algebra |
| NCERT Book Class 12 Maths Three Dimensional Geometry |
| NCERT Book Class 12 Maths Linear Programming |
| NCERT Book Class 12 Maths Probability |
| NCERT Book Class 12 Mathematics Answers and Solutions |
| NCERT Book Class 12 Mathematics Answers and Solutions |
| NCERT Book Class 12 Mathematics Proofs In Mathematics |
| NCERT Book Class 12 Mathematics Mathematical Modeling |
Important Practice Resources for Class 12 Mathematics
NCERT Book Class 12 Mathematics Chapter 5 Continuity and Differentiability
Download the official NCERT Textbook for Class 12 Mathematics Chapter 5 Continuity and Differentiability, updated for the latest academic session. These e-books are the main textbook used by major education boards across India. All teachers and subject experts recommend the Chapter 5 Continuity and Differentiability NCERT e-textbook because exam papers for Class 12 are strictly based on the syllabus specified in these books. You can download the complete chapter in PDF format from here.
Download Mathematics Class 12 NCERT eBooks in English
We have provided the complete collection of NCERT books in English Medium for all subjects in Class 12. These digital textbooks are very important for students who have English as their medium of studying. Each chapter, including Chapter 5 Continuity and Differentiability, contains detailed explanations and a detailed list of questions at the end of the chapter. Simply click the links above to get your free Mathematics textbook PDF and start studying today.
Benefits of using NCERT Class 12 Textbooks
The Class 12 Mathematics Chapter 5 Continuity and Differentiability book is designed to provide a strong conceptual understanding. Students should also access NCERT Solutions and revision notes on studiestoday.com to enhance their learning experience.
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Yes, our collection of Class 12 Mathematics NCERT books follow the 2026 rationalization guidelines. All deleted chapters have been removed and has latest content for you to study.
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NCERT books are the main source for NCERT exams. By reading NCERT Book Class 12 Maths Continuity and Differentiability line-by-line and practicing its questions, students build strong understanding to get full marks in Mathematics.