NCERT solutions for Class 12 Maths Exercise 5.2 - Download free PDFs
  • Written By simran
  • Last Modified 23-06-2022
  • Written By simran
  • Last Modified 23-06-2022

CBSE Class 12 Maths NCERT Solutions for Exercise 5.2: Check Solved Exercises

Exercise 5.2 Class 12 Maths: Students must thoroughly practice all the NCERT Solutions for Continuity and Differentiability Exercise 5.2 Class 12 Maths to score higher marks in the examination. The solutions are aimed at helping students prepare for their board exams properly. 

In order to prepare for board and competitive exams thoroughly, students will need to be familiar with the concepts of continuity and differentiation. Continuity and Differentiability Class 12 is an essential chapter that the students must practice regularly. These NCERT Solutions designed by professionals have questions per the latest syllabus and CBSE guidelines. Read more to learn about Class 12th Maths Chapter 2 Solutions.

Exercise 5.2 Class 12 Maths: An Overview

The Continuity and Differentiability Class 12 is a continuation of the chapter from Class 11. In the chapter, students will learn about the Differentiability of function- polynomial and trigonometric. In the chapter, students can learn about various concepts such as Differentiability, Continuity, and Relations. 

The students are also introduced to a new concept, the new class of functions like exponential and logarithmic functions. These functions will help to understand the effective techniques for determining differentiation techniques. 

The Continuity and Differentiability NCERT Solutions will help students prepare for examinations properly. The ex 5.2 Class 12 contains questions on Continuity. The Class 12th Maths Chapter 5 solution includes the following sub-topics that the students must prepare thoroughly. 

Sr No.Topics
15.1 Introduction
25.2 Continuity
35.2.1 Algebra of continuous functions
45.3. Differentiability
55.3.1 Derivatives of composite functions
65.3.2 Derivatives of implicit functions
75.3.3 Derivatives of inverse trigonometric functions
85.4 Exponential and Logarithmic Functions
95.5. Logarithmic Differentiation
105.6 Derivatives of Functions in Parametric Forms
115.7 Second Order Derivative
125.8 Mean Value Theorem.

In the coming sections, we will be dealing with all the Continuity and Differentiability NCERT Solutions for unit 5.2.

NCERT Exercise 5.2 Class 12 Maths: Download PDFs

Students can refer to the exercise 5.2 class 12 Maths to prepare for the exams. The students can download all the exercises for Continuity and Differentiability 5.2 and prepare for the exams from the PDFs given below.

NCERT Class 12 Maths Solution: Download Links

Students preparing for CBSE Class 12 Maths need to refer to the NCERT solutions thoroughly. The solutions play an essential role in helping students clear their doubts. Practicing the NCERT Solutions regularly will play an important role in helping the students prepare for their exams and improve their speed and accuracy in solving the problems. Given below are the download links for all NCERT Solutions for Maths Class 12:

NCERT Solutions Class 12 Maths
1st Chapter – Relations and Functions
2nd Chapter – Inverse Trigonometric Functions
3rd Chapter – Matrices
4th Chapter – Determinants
5th Chapter – Continuity and Differentiability
6th Chapter – Application of Derivatives
7th Chapter – Integrals
8th Chapter – Application of Integrals
9th Chapter – Differential Equations
10th Chapter – Vector Algebra
11th Chapter – Three Dimensional Geometry
12th Chapter – Linear Programming
13th Chapter – Probability
Practice Latest 12th CBSE Book Questions Aligned to the New Syllabus With Quick Hints & Easy Solutions.

Continuity and Differentiability Class 12: Chapter Details

Students who are preparing using Continuity and Differentiability Solutions need to memorise the few important points that will help them prepare for the exams properly. The important details are given below:

  • A real-valued function is continuous at a point in its domain if the limit of the function at that point equals the value of the function at that point. A function is continuous if it is continuous on the whole of its domain.
  • Logarithmic differentiation is a powerful technique to differentiate functions of the form f (x) = [u (x)]v (x). Here both f(x) and u (x) need to be positive for this technique to make sense.
  • The differential function follows a continuous pattern which may not be the same for the converse. 
  • The difference, sum, quotient and product of the continuous function will always be continuous. 
  • Mean Value Theorem: If f : [a, b] → R is continuous on [a, b] and differentiable on (a, b). Then there exists some c in (a, b) such that f'(c) = (f(b) – f(a))/(b-a)
  • Rolle’s Theorem: If f : [a, b] → R is continuous on [a, b] and differentiable on (a, b) such that f(a) = f(b), then there exists some c in (a, b) such that f ′(c) = 0

Continuity and Differentiability have certain rules to be followed. Therefore the candidates must follow all these rules while solving the questions and answers. Following the basic details will play an important role in helping the students prepare for their exams. 

Practice 12th CBSE Exam Questions

Benefits of Referring to Exercise 5.2 Class 12 Maths from Embibe

The solutions for ex 5.2 Class 12 Maths have been curated by professionals at Embibe that will help students prepare for the examination. Here are some of the benefits of referring to the Exercise 5.2 Class 12 Maths from Embibe:

  • The NCERT Solutions for Exercise 5.2 Class 12 Maths have been prepared by experts at Embibe. Therefore, these will help improve the conceptual understanding of a particular topic. 
  • The NCERT Class 12 solutions follow the CBSE Curriculum, and most questions in the board exams are from NCERT books themselves. Therefore, practicing the solutions will help students get an idea about the questions in the board exams. 
  • The NCERT Solutions will help students clear their doubts regarding Continuity and Differentiability. 
  • The given NCERT solutions for exercise 5.2 Class 12 Maths have been designed easy-to-understand.
  • Practicing the NCERT Solutions will help to boost the confidence level of students. 

Students can refer to the NCERT Solutions from Embibe to improve their preparation for Class 12 board exams. Although students can refer to additional books and reference materials, the NCERT Solutions are easy to understand and to the point. Before referring to any additional book, the students must only consider solving the NCERT solutions. 

Attempt 12th CBSE Mock Tests With Deep-improvement Analysis, Designed to Match the Actual Exam.

FAQs on Exercise 5.2 Class 12 Maths

Students often have a few questions about Exercise 5.2 Class 12 Maths. Here are some of the important questions that the students must refer to for their Continuity and Differentiability Class 12 Preparation:

Q.1. What topics does Chapter 5 of NCERT Solutions Class 12 cover?
Ans. Class 12 NCERT Chapter 5 Solutions deals with Continuity and Differentiability. Some of the important topics covered in the chapter include the following

  • Continuity
  • Algebra of Continuous Functions
  • Differentiability
  • Derivatives of Composite Functions
  • Derivatives of Implicit Functions
  • Inverse Trigonometric Functions Derivatives
  • Exponential and Logarithmic Functions
  • Logarithmic Differentiation
  • Derivatives of Functions in Parametric Forms
  • Second-Order Derivative
  • Mean Value Theorem

Q.2. Why should students refer to Exercise 5.2 Class 12 Maths?
Ans. The NCERT Solutions for exercise 5.2 Class 12 Maths at Embibe have been designed by experts. Referring to these will play an important role in helping students prepare for the Term I and Term II exams. Every topic in the NCERT Solutions has been covered with an in-depth explanation that will help clear the students’ doubts easily. 

Q.3. Where can students get the PDFs for Exercise 5.2?
Ans. Students can download the Class 12 Maths Exercise 5.2 PDF from Embibe and practice for their examination. The PDFs are available for free. 

Q.4. What is the difficulty level for Class 12 Maths?
Ans. Class 12 Maths follows a moderate difficulty level. Students preparing for the exam need to ensure that they follow the important textbooks and solutions that will help to make their preparation easy. CBSE Class 12 Maths is a continuation of most of the chapters from Class 11. Therefore, the students can easily solve the papers when their basics in Class 11 are clear. 

Q.5. What is the importance of Class 12 Maths Exercise 5.2 Solutions?
Ans. The NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability helps to get proper information about the topic. With a strategic approach to the chapter, students will be able to improve their speed and accuracy. The solutions have a well-framed guideline following, which will help boost students’ self-confidence. 

Attempt 12th CBSE Exam Mock Tests

This article has provided the PDFs for Class 12 Maths Ex 5.2 that will help students prepare for their board exams. Students can take the Class 12 mock tests and understand how well they are ready for their examination to improve their preparation. 

We hope this article on NCERT Solutions for Class 12 Maths Exercise 5.2 has been helpful for you. If you have any queries or doubts, please feel free to reach out to us. Our team shall get back to you with a resolution to your query. 

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