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.
    Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:

      • $x^3 + 3x^2 + \frac{2}{x^2} + 5x + 11$
      • $x^3 + 3x^2 + \frac{2}{x^2} + 5x - 11$
      • $x^3 + 3x^2 - \frac{2}{x^2} + 5x - 11$
      • $x^3 - 3x^2 - \frac{2}{x^2} + 5x - 11$

    • 2.
      Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]


        • 3.
          Solve the differential equation: \[ x^2y \, dx - (x^3 + y^3) \, dy = 0. \]


            • 4.
              Let the polished side of the mirror be along the line \[ \frac{x}{1} = \frac{1 - y}{2} = \frac{2z - 4}{6}. \] A point \( P(1, 6, 3) \), some distance away from the mirror, has its image formed behind the mirror. Find the coordinates of the image point and the distance between the point \( P \) and its image.


                • 5.
                  A furniture workshop produces three types of furniture: chairs, tables, and beds each day. On a particular day, the total number of furniture pieces produced is 45. It was also found that the production of beds exceeds that of chairs by 8, while the total production of beds and chairs together is twice the production of tables. Determine the units produced of each type of furniture, using the matrix method.


                    • 6.
                      Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?

                        • $f$ has a minimum value at $x = 0$
                        • $f$ has no maximum value in $\mathbb{R}$
                        • $f$ is continuous at $x = 0$
                        • $f$ is differentiable at $x = 0$
                      CBSE CLASS XII Previous Year Papers

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