NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.3

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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.3 is covered in this article. Exercise 5.3 is based on derivatives of implicit functions, and derivatives of inverse trigonometric 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 15 problems and solutions based on the important topics. 

Download PDF NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.3

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.
    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

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

    • 2.
      Solve the differential equation \( (x - \sin y) \, dy + (\tan y) \, dx = 0 \), given \( y(0) = 0 \).


        • 3.
          Evaluate \( \int_0^{\frac{\pi}{2}} \frac{x}{\cos x + \sin x} \, dx \)


            • 4.

              The given graph illustrates:

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

              • 5.
                Let $\mathbf{| \mathbf{a} |} = 5$ and $-2 \leq z \leq 1$. Then, the range of $|\mathbf{a}|$ is:

                  • $[5, 10]$
                  • $[-2, 5]$
                  • $[2, 1]$
                  • $[-10, 5]$

                • 6.
                  Determine those values of $x$ for which $f(x) = \frac{2}{x} - 5$, $x \ne 0$ is increasing or decreasing.

                    CBSE CLASS XII Previous Year Papers

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