NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.8

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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.8 is covered in this article. Exercise 5.8 includes questions from the topic, Mean Value Theorem. 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 06 problems and solutions based on the important topic covered in this exercise. 

Download PDF NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.8

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


      • 2.
        $ \int \frac{e^{10 \log x} - e^{8 \log x}}{e^{6 \log x} - e^{5 \log x}} \, dx$ is equal to :

          • $x + C$
          • $\frac{x^2}{2} + C$
          • $\frac{x^4}{4} + C$
          • $\frac{x^3}{3} + C$

        • 3.
          Determine those values of $x$ for which $f(x) = \frac{2}{x} - 5$, $x \ne 0$ is increasing or decreasing.


            • 4.
              Let \[ A = \begin{pmatrix} 1 & 4 \\ -2 & 1 \end{pmatrix} \quad \text{and} \quad C = \begin{pmatrix} 3 & 4 & 2 \\ 12 & 16 & 8 \\ -6 & -8 & -4 \end{pmatrix}. \] Then, find the matrix $B$ if $AB = C$.


                • 5.
                  Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).


                    • 6.
                      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
                        • $\int_0^a f(x) dx = \int_0^a f(2a + x) dx$
                      CBSE CLASS XII Previous Year Papers

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