NCERT Solutions for Class 12 Maths Chapter 5 - Embibe
  • Written By Varsha
  • Last Modified 19-09-2022
  • Written By Varsha
  • Last Modified 19-09-2022

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability: Students must thoroughly solve the 5th chapter of NCERT Class 12 Maths, ‘Continuity and Differentiability’, to excel in Class 12 board exams. NCERT solutions Class 12 Maths chapter 5 is a valuable resource that helps students grasp the step-by-step approach for solving problems, leading to scoring better marks.

Class 12 Maths Chapter 5 talks about Algebra of Continuous Functions, Differentiability, Derivatives of Composite and Implicit Functions, Exponential and Logarithmic Functions, Second Order Derivatives and many more. Embibe delivers a set of 400+ practice questions for all the sub-topics involved in chapter 5. Keep reading to access the NCERT Solutions for Maths Class 12 Chapter 5.

NCERT Solutions for Class 12 Maths Chapter 5: Important Topics

Continuity and Differentiability may seem difficult to understand at first, but as students solve the problems right from the basics, understanding the concepts becomes easy. Students must go through the videos offered by Embibe and then try to solve all the questions. The more questions students solve, the more proficiency they attain in the topic.

Embibe offers solutions for Class 12 Maths Chapter 5 as per the latest CBSE syllabus. Also, students can easily access the solutions for free to prepare for exams. Apart from NCERT solutions, Embibe also delivers NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for free.

Before accesing the NCERT solutions for the Continuity and Differentiability chapter, students can go through the list of topics included in Class 12 Maths chapter 5:

Sr. No.Topic Name
1.Continuity
2.Differentiability
3.Derivatives of Composite and Implicit Functions
4.Logarithmic Differentiation
5.Exponential and Logarithmic Functions
6.Derivative of Functions in Parametric Forms
7.Second Order Derivative
8.Mean Value Theorem

NCERT Solutions for Class 12 Maths Chapter 5: Points to Remember

Below mentioned are some of the important points to be remembered from NCERT Class 12 Maths Chapter 5:

  • Following functions are everywhere continuous:
    (a) A constant function
    (b) The identity function
    (c) A polynomial function
    (d) Modulus function
    (e) Exponential function
    (f) Sine and Cosine functions
  • Following functions are continuous in their domains:
    a) A logarithmic function
    (b) A rational function
    (c) Tangent, cotangent, secant and cosecant functions
    (d) All inverse trigonometric functions are continuous in their respective domains
  • A function f(x) is said to be continuous if it is continuous at every point on its domain.
  • Rolle’s Theorem:
    Let f be a real value of function defined on the closed interval [a, b] such that
    (i) It is continuous on [a,b]
    (ii) It is differentiable on (a,b) and
    (iii) f(a)=f(b)
    Then, there exists at least one real number c∈(a,b) such that f'(c)=0.
  • Lagrange’s Mean Value Theorem:
    Let f(x) be a function defined on [a, b] such that
    (i) It is continuous on [a,b] and
    (ii) Differentiable on (a,b)
    Then, there exists at least one c∈(a,b) such that f'(c)=f(b)-f(a)/b-a

Check out all the important points for CBSE Class 12 Maths Chapter 5 at Embibe.

NCERT Solutions for Class 12 Maths: All Chapters

Students can find the NCERT solutions for all the chapters of Maths as mentioned below.

FAQs

Q.1: From where can I download the Continuity and Differentiability Class 12 NCERT solutions?
Ans:
Students can download NCERT solutions for Class 12 Maths Chapter 5 from this article which contains the most comprehensive, reliable and up-to-date information provided by expert faculty members, compiled according to the latest CBSE marking scheme and exam pattern guidelines.

Q.2: Does Embibe provide the Maths Class 12 chapter 5 solutions for free?
Ans: Yes, Embibe provides Class 12 Chapter 5 Maths solutions for free.

Q.3: What are the topics covered in Class 12 Maths chapter 5 Continuity and Differentiability chapter?
Ans: Continuity and Differentiability has different topics covered like continuity, differentiability, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second-order derivative and mean value theorem, and some other important concepts.

Q.4: How can I score good marks in Class 12 Maths?
Ans: Students can easily score good marks in CBSE Class 12 Maths by practising the NCERT solutions and going through the conceptual videos provided by Embibe.

Q.5: Is Class 12 Maths difficult?
Ans: No, Class 12 Maths is easier than Class 11 Maths in CBSE board. Students who have cleared all basic concepts of the Class 11 Maths syllabus do not have to worry about Class 12 Maths topics as the Class 12 syllabus is mainly based on Class 11 concepts.

Adaptive Practice with Solutions To Help You Ace Important Topics for 12th CBSE