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Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Exemplar Solutions for Class 12 provide useful solutions for improving conceptual knowledge and preparing for exams like JEE.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12 pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
Students will deal with continuity and differentiability problems solutions in this chapter of NCERT Exemplar Solutions for Class 12 Maths, which includes questions based on proving an equation is continuous when given different values of ‘x’.
We’ll also look at some of the functions of continuity and draw some conclusions. You’ll come across explanations for several types of queries, where you’ll be asked to explain why one quantity should be replaced with a different value. For any quick references to comprehend hard themes, students can use the NCERT Exemplar Solutions for Class 12 Maths Chapter 5 within the first term syllabus.
The important concepts discussed in Class 12 NCERT Maths Chapter5 are listed below:
- Continuous functions’ sum, difference, product, and quotient are all continuous.
- Every continuous function is differentiable, while the opposite is not true.
- 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) = 0, such that f(a) = f(b).
- If f: [a, b] →R is continuous on [a, b] and differentiable on [a, b], then (a, b). Then some c in (a, b) exists such that f'(c) = (f(b) – f(a)/ (b-a)
NCERT Exemplar Solutions For Class 12 Maths Chapter 5 Exercises:
Get detailed solutions for all the questions listed under the below exercises:
- Exercise 5.1 Solutions : 34 Questions (Short Answers)
- Exercise 5.2 Solutions : 10 Questions(Short Answers)
- Exercise 5.3 Solutions : 15 Questions ( Short Answers)
- Exercise 5.4 Solutions : 10 Questions (Short Answers)
- Exercise 5.5 Solutions : 18 Questions ( Short Answers)
- Exercise 5.6 Solutions : 11 Questions (Short Answers)
- Exercise 5.7 Solutions : 17 Questions (Short Answers)
- Exercise 5.8 Solutions : 6 Questions (Short Answers)
Miscellaneous Exercise Solutions: 23 Questions (6 Long, 17 Short)
NCERT Exemplar Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability
The topics and subtopics covered in NCERT Exemplar Solutions for Class 12 Chapter 5 – Continuity and Differentiability are:
| Exercise | Topic |
| 5.1 | Introduction |
| 5.2 | Continuity |
| 5.3 | Differentiability |
| 5.4 | Exponential and Logarithmic Functions |
| 5.5 | Logarithmic Differentiation |
| 5.6 | Derivatives of Functions in Parametric Forms |
| 5.7 | Second Order Derivative |
| 5.8 | Mean Value Theorem |
| Others | Miscellaneous Q&A |
Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability
- Students can use NCERT Exemplar Solutions to solve their questions and improve their grades.
- The language is simple and straightforward.
- This chapter’s concepts are thoroughly discussed.
- NCERT Exemplar Solutions will assist students in reinforcing their knowledge of continuity and differentiation.
- NCERT Exemplar Solutions will aid in the development of student confidence.
Students can also use Infinity Learn to acquire NCERT Exemplar Solutions for other classes and subjects while studying or preparing for exams.
Frequently Asked Questions
What are the topics covered in Chapter 5 of NCERT Exemplar Solutions for Class 12 Maths?
Continuity and Differentiability are discussed in Chapter 5 of NCERT Maths for Class 12. It is an important chapter in Class 12 because the themes are carried over to higher grades. Some of the essential ideas covered in this chapter include continuity, differentiability, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second-order derivative, and the mean value theorem.
Why should I choose NCERT Exemplar Solutions for Class 12 Maths Chapter 5?
For students preparing for their term – I test, the NCERT Exemplar Solutions designed by the specialists at infinity learn offer a number of advantages. Each topic has an in-depth explanation to assist students in achieving high scores. The solutions are entirely based on the CBSE's most recent syllabus for 2021-22. These solutions assist students in preparing for a variety of different competitive exams, such as JEE Main, JEE Advanced, and others, in addition to the Class 12 term exams.
Why Opt for Infinity Learn?
In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.
How many exercises are present in Chapter 5 of NCERT Exemplar Solutions for Class 12 Maths?
The number of questions in the exercises which are covered in this chapter is as follows: Exercise 5.1 – 34 questions Exercise 5.2 – 10 questions Exercise 5.3 – 15 questions Exercise 5.4 – 10 questions Exercise 5.5 – 18 questions Exercise 5.6 – 11 questions Exercise 5.7 – 17 questions Exercise 5.8 – 6 questions Miscellaneous Exercise – 23 questions
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