NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.4

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Class 12 Maths NCERT Solutions Chapter 6 Applications of Derivatives Exercise 6.4 is provided in this article. Chapter 6 Exercise 6.4 includes questions that deal with concepts of applications of derivatives and approximations. The exercise includes a total of 9 questions with 7 short questions and 2 MCQs.

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Check out Class 12 Maths NCERT solutions chapter 6 Applications of Derivatives Exercise 6.4:

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CBSE CLASS XII Related Questions

  • 1.
    Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]


      • 2.
        Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).


          • 3.
            Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).


              • 4.
                A line passing through the points \(A(1,2,3)\) and \(B(6,8,11)\) intersects the line \[ \vec r = 4\hat i + \hat j + \lambda(6\hat i + 2\hat j + \hat k) \] Find the coordinates of the point of intersection. Hence write the equation of a line passing through the point of intersection and perpendicular to both the lines.


                  • 5.
                    Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


                      • 6.
                        Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]

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