NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.4

Namrata Das logo

Namrata Das Exams Prep Master

Exams Prep Master

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.4 is covered in this article. Exercise 5.4 is based on exponential and logarithmic functions. 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 10 problems and solutions based on the important topics covered in this exercise. 

Download PDF NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.4

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.
    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
      • \( \pm 1 \)

    • 2.
      The area of the shaded region (figure) represented by the curves \( y = x^2 \), \( 0 \leq x \leq 2 \), and the y-axis is given by:
      The area of the shaded region

        • \( \int_0^2 x^2 \, dx \)
        • \( \int_0^2 \sqrt{y} \, dy \)
        • \( \int_0^4 x^2 \, dx \)
        • \( \int_0^4 \sqrt{y} \, dy \)

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


          • 4.
            Evaluate \( \int_0^{\frac{\pi}{2}} \frac{x}{\cos x + \sin x} \, dx \)


              • 5.
                For a function $f(x)$, which of the following holds true?

                  • $\int_a^b f(x) dx = \int_a^b f(a + b - x) dx$
                  • $\int_a^b f(x) dx = 0$, if $f$ is an even function
                  • $\int_a^b f(x) dx = 2 \int_0^a f(x) dx$, if $f$ is an odd function
                  • $\int_0^a f(x) dx = \int_0^a f(2a + x) dx$

                • 6.
                  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)
                  CBSE CLASS XII Previous Year Papers

                  Comments


                  No Comments To Show