NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.5

Namrata Das logo

Namrata Das Exams Prep Master

Exams Prep Master

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability comprises all solutions for all Exercise 5.5 questions. Exercise 5.5 is based on logarithmic differentiation. NCERT Solutions for Class 12 Maths Chapter 5 will carry a weightage of around 8-17 marks in the CBSE Term 2 Exam 2022. NCERT has provided a total of 18 problems and solutions based on the important topic covered in this exercise. 

Download PDF NCERT Solutions for Class 12 Chapter 5 Continuity and Differentiability Exercise 5.5

NCERT Solutions for Class 12 Maths Chapter 5: Important Topics

Important topics covered in the Continuity and Differentiability chapter are:

  • Mean Value Theorem
  • Rolle’s Theorem
  • Limits
  • Euler’s Number
  • Quotient Rule

Also check: NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

Other Exercise Solutions of Class 12 Maths Chapter 5 Continuity and Differentiability

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 Answers, 17 Short Answers)

Chapter 5 Continuity and Differentiability Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.

    Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
    Let \( A_1 \): People with good health,
    \( A_2 \): People with average health,
    and \( A_3 \): People with poor health.
    During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
    Based upon the above information, answer the following questions:
    (i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
    (ii) Given that the person has not contracted the disease, what is the probability that the person is from category \( A_2 \)?


      • 2.
        Find \( \int \frac{3x + 1}{(x - 2)^2 (x + 2)} \, dx \)


          • 3.
            Solve the differential equation \( (x - \sin y) \, dy + (\tan y) \, dx = 0 \), given \( y(0) = 0 \).


              • 4.
                Let \( \vec{a} \) be a position vector whose tip is the point (2, -3). If \( \overrightarrow{AB} = \vec{a} \), where coordinates of A are (–4, 5), then the coordinates of B are:

                  • (-2, -2)
                  • (2, -2)
                  • (-2, 2)
                  • (2, 2)

                • 5.

                  The given graph illustrates:

                    • $y = \tan^{-1} x$
                    • $y = \csc^{-1} x$
                    • $y = \cot^{-1} x$
                    • $y = \sec^{-1} x$

                  • 6.
                    If \( f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} \) is continuous at \( x = 0 \), then the value of 'a' is :

                      • 1
                      • -1
                      • 0
                      • \( \pm 1 \)
                    CBSE CLASS XII Previous Year Papers

                    Comments


                    No Comments To Show