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.

    If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

      • \(0.35\)
      • \(0.85\)
      • \(0.5\)
      • \(0.21\)

    • 2.

      Find the value of \(x\) if \(A = B\), where

      \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


        • 3.

          Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


            • 4.

              \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

                • \( \log \cos 2x + C \)
                • \( \sec^{2} 2x + C \)
                • \( e^{x}\tan x + C \)
                • \( e^{x}\cot x + C \)

              • 5.

                For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

                  • \(\frac{1}{2}\)
                  • \(\frac{3}{5}\)
                  • \(\frac{1}{5}\)
                  • \(\frac{3}{10}\)

                • 6.

                  Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

                    CBSE CLASS XII Previous Year Papers

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