NCERT Solutions for Class 12 Maths Chapter 5

NCERT Solutions for Class 12 Maths Chapter 5: The fundamental ideas of function continuity, function differentiability, and their relationship are explained in NCERT Solutions for Class 12 Maths Chapter 5. To excel in Class 12 board exams, students must thoroughly solve the 5th chapter of NCERT Class 12 Maths, ‘Continuity and Differentiability’.

NCERT Solutions for Class 12 Maths Chapter 5 is a valuable resource that helps students understand the step-by-step approach to problem solving, resulting in higher grades. Algebra of Continuous Functions, Differentiability, Derivatives of Composite and Implicit Functions, Exponential and Logarithmic Functions, Second Order Derivatives, and many other topics are covered in Class 12 Maths Chapter 5. Embibe provides a set of 400+ practice questions covering all the subtopics of Chapter 5. Continue reading to get 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 3D videos offered by Embibe and then try to solve all the practice questions. The more questions students solve, the more proficiency they attain in the topic.

Embibe offers solutions for Class 12 Maths Chapter 5 in simple and step-wise manner. Also, students can easily access the solutions for to prepare for exams. Apart from NCERT solutions, Embibe also delivers NCERT books, NCERT Exemplars, previous year papers, mock tests etc., for.

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:

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

The important points are helpful when students are doing their revision. They can quickly refer to them to get an idea of the entire chapter without spending a lot of time on it. 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

Practicing all the questions from each chapter of Maths is helpful to get a better understanding of the concepts. Students can refer to NCERT solutions to solve all the questions and ace the exam. They can find NCERT Solutions for all the chapters of Maths as mentioned below:

• Chapter 1: Relations and Functions
• Chapter 2: Inverse Trigonometric Functions
• Chapter 3: Matrices
• Chapter 4: Determinants
• Chapter 6: Applications of Derivatives
• Chapter 7: Integrals
• Chapter 8: Application of Integrals
• Chapter 9: Differential Equations
• Chapter 10: Vector Algebra
• Chapter 11: Three Dimensional Geometry
• Chapter 12: Linear Programming
• Chapter 13: Probability

Access Study Materials on Embibe for NCERT Class 12 Maths Chapter 5

Maths as a subject requires concept clarity and practice of the questions. To help students prepare for the exam intensively, Embibe provides ebooks with videos and solutions, practice questions, mock tests and many more. The table below contains links for the study materials for NCERT Class 12 Maths Chapter 5:

FAQs on NCERT Solutions for Class 12 Maths Chapter 5

Some frequently asked questions on NCERT Solutions for Class 12 Maths Chapter 5 are as follows:

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