NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability, provides solutions for all the questions enlisted under the chapter (All Exercises and Miscellaneous Exercise solutions). These NCERT Solutions have been carefully compiled and developed keeping in consideration the latest CBSE syllabus. All questions are solved by subject experts. Students can download these NCERT Solutions of Class 12 Maths and strengthen their fundamentals.
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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability
In this chapter, students will deal with continuity and differentiability problems solutions, that contains questions based on proving an equation is continuous if given with different values of ‘x’. Also, we will examine certain functions of continuity and generate conclusions. You will come across explanations for the different types of questions, where you will provide the reasons if one quantity is replaced with different values.
Some of the important concepts from the chapter are listed below:
- Sum, difference, product and quotient of continuous functions are continuous.
- Every differentiable function is continuous, but the converse is not true.
- 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.
- 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)
NCERT Solutions For Class 12 Maths Chapter 5 Exercises:
Get detailed solution for all the questions listed under 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 Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability
The main topics covered NCERT 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 Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability
- NCERT Solutions are valuable material for the students to clear their doubts and score well.
- Simple and easy language used.
- Each and every concept of this chapter is covered.
- NCERT Solutions will help the students to strengthen their basics on Continuity and Differentiability.
- NCERT Solutions will help in boosting the student confidence level.
Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 5
What are the topics covered in Chapter 5 of NCERT Solutions for Class 12 Maths?
How many exercises are present in Chapter 5 of NCERT Solutions for Class 12 Maths?
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