NCERT Solutions for Class 11 Maths Chapter 13 Exercise 13.2

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Class 11 Maths NCERT Solutions Chapter 13 Limits and Derivatives Exercise 13.2 is based on the following concepts:

  • Algebra of derivative of functions
  • Derivative of polynomials and trigonometric functions

Download PDF NCERT Solutions for Class 11 Chapter 13 Limits and Derivatives Exercise 13.2

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CBSE CLASS XII Related Questions

  • 1.
    Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


      • 2.

        A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


          • 3.
            Find:

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

              • \(-\frac{\pi}{2}\)
              • \(-\frac{\pi}{4}\)
              • \(\frac{\pi}{4}\)
              • \(\frac{\pi}{2}\)

            • 4.
              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 \(k\).

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

              • 5.

                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 :


                  • 6.
                    Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

                      CBSE CLASS XII Previous Year Papers

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