NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

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 into 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.

In this chapter, the student 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.

NCERT Solutions For Class 12 Maths Chapter 5

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)

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