NCERT Solutions for Class 12 Maths Exercise 5.1 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Exercise 5.1 Continuity and Differentiability: Continuity and Differentiability is the fifth chapter in CBSE Class 12 Maths. It is one of the most important chapters in CBSE Class 12 Maths and requires plenty of practice for students to ace the Board exams. The NCERT Solutions for Continuity and Differentiability Class 12 Exercise 5.1 Maths will help students get the best solutions for the first exercise of Chapter 5 in the NCERT textbook.

CBSE Class 12 Maths Exercise 5.1 talks about the Introduction, Continuity and Algebra of Continuous Functions. Embibe provides more than 400 practice questions for all the sub-topics involved in chapter 5 of Class 12 Maths. To score the best marks in Maths, students must practice all the questions without fail. Keep reading to find out NCERT solutions for Class 12 Chapter 5.1 Continuity and Differentiability.

NCERT Solutions for Class 12 Maths Chapter 5: Important Topics

Continuity and Differentiability is one of the important topics of Class 12 Maths. Practicing the problems of Chapter 5 not only helps students to score good marks in the final exams. It also helps them to ace the entrance exams. Once the students start solving problems related to chapter 5, they can easily score good marks in the exams.

Students must practice as many questions as possible so that they can analyse the nature of the questions asked in the exam. Embibe delivers the solutions to all the questions of Class 12 Maths Chapter 5 textbooks, considering the latest syllabus. Along with the NCERT solutions, students can also practice NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for.

Below mentioned is the list of topics included in CBSE Class 12 Maths Chapter 5:

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

Students can find the important points to remember from the Continuity and Differentiability chapter as mentioned below:

• A function f(x) is said to be continuous if it is continuous at every point on its domain.
• 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
• The 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 is said to be differentiable if it is differentiable at every point in its domain.
•  Every differentiable function is continuous, but the converse is not necessarily true.
• The sum, difference, product and quotient of two differentiable functions are differentiable.
•  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

NCERT Solutions for Class 12 Maths: All Chapters

Students can find the detailed NCERT Class 12 Maths solutions as provided below for your reference:

• 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

FAQs on NCERT Solutions for Class 12 Maths Exercise 5.1

Q.1: What is the differentiability formula?
Ans: Assume that f is a real function and c is a point in its domain. The derivative of f at c is defined by 0. The derivative of a function f at c is defined by – lim_h→0 [f(?+h) – f(c)]/h

Q.2: What is Continuity in an Interval?
Ans: A function y = f(x) is said to be continuous in an interval (a, b), where a < b if and only if f(x) is continuous at every point in that interval.

• Every identity function is continuous.
• Every constant function is continuous.
• Every polynomial function is continuous.
• Every rational function is continuous.
• All trigonometric functions are continuous in their domain.

Q.3: Where can I download NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability?
Ans: Students can download NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability from this article.

Q.4: What are the topics covered in NCERT Class 12 Maths Chapter 5 Continuity and Differentiability?
Ans: The topics covered in NCERT Class 12 Maths Chapter 5 Continuity and Differentiability are Continuity, Differentiability, Exponential and Logarithmic Functions, Logarithmic Differentiation, Derivatives of Functions in Parametric Forms, Second-Order Derivative, and Mean Value Theorem.

Q.5: Where can I download NCERT Solutions for all chapters of Class 12 Maths for?
Ans: NCERT Solutions for Class 12 Maths all chapters can be downloaded from Embibe. The links are provided in this article to download the solutions for.