NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.5

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.5 is given in this article. Chapter 6 Exercise 6.5 includes questions that deal with concepts of maxima and minima and maximum and Minimum Values of a Function in a Closed Interval.

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Class 12 Chapter 6 Applications of Derivatives Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


      • 2.

        The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

          • \([-1, 1]\)
          • \([4, 6]\)
          • \([-7, -3]\)
          • \([2, 3]\)

        • 3.
          For a square matrix \(A\), \[ (3A)^{-1}= \]

            • \( 3A^{-1} \)
            • \( 9A^{-1} \)
            • \( \frac{1}{3} A^{-1} \)
            • \( \frac{1}{9} A^{-1} \)

          • 4.
            Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


              • 5.

                Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


                  • 6.

                    Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 

                      CBSE CLASS XII Previous Year Papers

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