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CBSE Class 12 Mathematics NCERT Exemplar Solutions: Chapter- Continuity and Differentiability

Get here NCERT Exemplar Solutions Class 12 Mathematics – Continuity and Differentiability in PDF form. Students can download the PDF at free of cost and take advantage of it while preparing for board exams.

Jul 20, 2018 17:34 IST
Class 12 Mathematics NCERT Exemplar Solutions: Continuity and Differentiability

The NCERT Exemplar books are very important for engineering entrance exams like JEE Main, WBJEE and UPSEE as the level of the questions are very high. The questions given at the end of the chapter are very important for board exams also. Sometimes, students got confused while solving the questions given in NCERT Exemplar books. In this article, we providing you NCERT Exemplar Solutions Class 12 Mathematics Chapter 5 – Continuity and Differentiability Students can take help from these solutions if they stuck while solving any question. The solutions are presented in the most appropriate and simple way for easy understanding.

What topics will you read in chapter - Continuity and Differentiability?

Concept of continuity and differentiability

Derivative of Composite functions

Differentiation of Inverse trigonometric functions

Derivative of Implicit functions

Concept of exponential & logarithmic functions

Derivative of functions expressed in parametric forms

Second order derivatives

Rolle's Theorem

Lagrange's Mean Value Theorem

Few problems along with their solutions from this chapter are given follows:

Question:

Examine the continuity of the function f (x) = x3 + 2x2 - 1 at x = 1.

Solution:

NCERT Exemplar Class 12

Question:

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is ........  .

Solution:        

An example of a function which is continuous everywhere but fails to be differentiable exactly at two points is x + |x – 1|. The functions is continuous everywhere but fails to be differentiable exactly at two points x = 0 and x = 1.

Question:

If f is continuous on its domain D, then | f | is also continuous on D.

Solution: True

If a function is continuous on its domain, then the modulus of the function is also continuous in the same domain.

Hence, | f |is also continuous on D.

 

Question:

The composition of two continuous functions is a continuous function.

Solution: True

The composition of two continuous functions is also a continuous function

Question:

Trigonometric and inverse trigonometric functions are differentiable in their respective domain.

Solution: True

All the trigonometric and inverse trigonometric functions are differentiable in their respective domain.

Students can download the complete solutions in PDF form using the links given below:

Types

Number of questions

Link to download PDF

Short answer type questions

78

Download

Long answer type questions

4

Download

Objective type questions

14

Download

Fillers type

5

Download

True/False type

5

Download

Total

106

 

Why students should read Class 12 NCERT Exemplar Books?

  • Offers in-depth knowledge of each topic.
  • Strictly follows the CBSE board curriculum.
  • Questions are frequently asked in board exams.
  • Important questions are given at the end of each chapter
  • NCERT Exemplar books are written in an easy language by experienced teachers and professor having deep understanding of the subject.
  • NCERT Exemplar books help students to understand the basics and fundamentals
  • Contain standard questions plus some extra information for competitive exams.
  • Many questions are asked in engineering entrance exams like JEE-Main from NCERT Exemplar books.

In this chapter of the book, students will get the following things.

Brief summary of the complete chapter

Short answer type questions

Long answer types questions

Objective type questions or MCQs

Fill in the blanks

True and False

Students can download the complete NCERT Exemplar book from the link given below:

NCERT Exemplar Book Class 12 Maths: Continuity and Differentiability