NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Miscellaneous Exercise

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Miscellaneous Exercise is provided in this article. Chapter 6 Miscellaneous Exercise Solutions covers the concepts of rate of change of quantities, increasing and decreasing functions, maxima and minima, and approximations.

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Check out the Class 12 Maths NCERT solutions chapter 6 Applications of Derivatives Miscellaneous Exercise Solutions

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Check out other exercise solutions of Class 12 Maths Chapter 6 Applications of Derivatives:

Class 12 Chapter 6 Applications of Derivatives Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).


      • 2.
        Find:

        If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

          • \(0\)
          • \(-2\)
          • \(-1\)
          • \(2\)

        • 3.

          At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


          Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
          On the basis of the above information, answer the following questions :


            • 4.

              An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
              Based on the above information, answer the following questions :


                • 5.
                  If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


                    • 6.
                      Find:

                      The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

                        • \(-\frac{\pi}{2}\)
                        • \(-\frac{\pi}{4}\)
                        • \(\frac{\pi}{4}\)
                        • \(\frac{\pi}{2}\)
                      CBSE CLASS XII Previous Year Papers

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