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:

Check out other exercise solutions of Class 12 Maths Chapter 6 Applications of Derivatives:

Class 12 Chapter 6 Applications of Derivatives Topics:

Increasing and Decreasing Functions	Linear Interpolation Formula	Differential Calculus approximation
Lagrange Interpolation Formula	Linear Approximation Formula	Maxima and Minima
Tangents and Normals	Interpolation Formula	Derivatives formula

CBSE Class 12 Mathematics Study Guides:

NCERT Solutions for Class 12 Maths	Algebra	Difference between in Maths
Math Formula	Calculus	Mensuration
Math Study Notes	Math MCQs	Trigonometry

CBSE CLASS XII Related Questions

1.
Prove that the line through points A(0, -1, -1) and B(4, 5, 1) intersects the line through points C(3, 9, 4) and D(-4, 4, 4). Hence, write the equation of line passing through the point of intersection of lines AB and CD as well as origin.
View Solution
2.
The general solution of the differential equation \(\frac{dy}{dx} = \frac{\sqrt{y}}{\sqrt{x}}\) is
- \(\log\sqrt{y} = \log\sqrt{x} + C\)
- \(\sqrt{y} + \sqrt{x} = C\)
- \(\sqrt{y} - \sqrt{x} = C\)
- \(\log\sqrt{y} + \log\sqrt{x} = C\)
View Solution
3.
Find the co-ordinates of the point on the line \(\vec{r} = -\hat{j} + 3\hat{k} + \lambda(2\hat{i} - 2\hat{j} + \hat{k})\) such that the sum of co-ordinates is 3.
View Solution
4.
Find the domain of \(g(x) = \cos^{-1}(x^{2} - 1)\). Hence, find the value of \(x\) for which \(g(x) = \dfrac{\pi}{3}\).
Also, write the range of \(\cos^{-1}x\) other than its principal branch.
View Solution
5.
If \( x = 3\sin t - \sin 3t,\ y = 3\cos t - \cos 3t \), find \( \dfrac{dy}{dx} \) and prove that \( \dfrac{d^2y}{dx^2} = \dfrac{-\operatorname{cosec}^3 2t \cdot \operatorname{cosec} t}{3} \).
View Solution
6.
Solve the following linear programming problem graphically :
Maximize \(Z = 10500x + 9000y\)
Subject to constraints
\(x + y \le 50\)
\(2x + y \le 80\)
\(x, y \ge 0\)
View Solution

View All

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

CBSE CLASS XII Related Questions

1.
Prove that the line through points A(0, -1, -1) and B(4, 5, 1) intersects the line through points C(3, 9, 4) and D(-4, 4, 4). Hence, write the equation of line passing through the point of intersection of lines AB and CD as well as origin.

2.
The general solution of the differential equation \(\frac{dy}{dx} = \frac{\sqrt{y}}{\sqrt{x}}\) is

3.
Find the co-ordinates of the point on the line \(\vec{r} = -\hat{j} + 3\hat{k} + \lambda(2\hat{i} - 2\hat{j} + \hat{k})\) such that the sum of co-ordinates is 3.

4.
Find the domain of \(g(x) = \cos^{-1}(x^{2} - 1)\). Hence, find the value of \(x\) for which \(g(x) = \dfrac{\pi}{3}\).
Also, write the range of \(\cos^{-1}x\) other than its principal branch.

5.
If \( x = 3\sin t - \sin 3t,\ y = 3\cos t - \cos 3t \), find \( \dfrac{dy}{dx} \) and prove that \( \dfrac{d^2y}{dx^2} = \dfrac{-\operatorname{cosec}^3 2t \cdot \operatorname{cosec} t}{3} \).

6.
Solve the following linear programming problem graphically :
Maximize \(Z = 10500x + 9000y\)
Subject to constraints
\(x + y \le 50\)
\(2x + y \le 80\)
\(x, y \ge 0\)

Similar Mathematics Concepts

Comments

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

CBSE CLASS XII Related Questions

1.Prove that the line through points A(0, -1, -1) and B(4, 5, 1) intersects the line through points C(3, 9, 4) and D(-4, 4, 4). Hence, write the equation of line passing through the point of intersection of lines AB and CD as well as origin.

2.The general solution of the differential equation \(\frac{dy}{dx} = \frac{\sqrt{y}}{\sqrt{x}}\) is

3.Find the co-ordinates of the point on the line \(\vec{r} = -\hat{j} + 3\hat{k} + \lambda(2\hat{i} - 2\hat{j} + \hat{k})\) such that the sum of co-ordinates is 3.

4.Find the domain of \(g(x) = \cos^{-1}(x^{2} - 1)\). Hence, find the value of \(x\) for which \(g(x) = \dfrac{\pi}{3}\).Also, write the range of \(\cos^{-1}x\) other than its principal branch.

5.If \( x = 3\sin t - \sin 3t,\ y = 3\cos t - \cos 3t \), find \( \dfrac{dy}{dx} \) and prove that \( \dfrac{d^2y}{dx^2} = \dfrac{-\operatorname{cosec}^3 2t \cdot \operatorname{cosec} t}{3} \).

6.Solve the following linear programming problem graphically :Maximize \(Z = 10500x + 9000y\)Subject to constraints\(x + y \le 50\)\(2x + y \le 80\)\(x, y \ge 0\)

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Prove that the line through points A(0, -1, -1) and B(4, 5, 1) intersects the line through points C(3, 9, 4) and D(-4, 4, 4). Hence, write the equation of line passing through the point of intersection of lines AB and CD as well as origin.

2.
The general solution of the differential equation \(\frac{dy}{dx} = \frac{\sqrt{y}}{\sqrt{x}}\) is

3.
Find the co-ordinates of the point on the line \(\vec{r} = -\hat{j} + 3\hat{k} + \lambda(2\hat{i} - 2\hat{j} + \hat{k})\) such that the sum of co-ordinates is 3.

4.
Find the domain of \(g(x) = \cos^{-1}(x^{2} - 1)\). Hence, find the value of \(x\) for which \(g(x) = \dfrac{\pi}{3}\).
Also, write the range of \(\cos^{-1}x\) other than its principal branch.

5.
If \( x = 3\sin t - \sin 3t,\ y = 3\cos t - \cos 3t \), find \( \dfrac{dy}{dx} \) and prove that \( \dfrac{d^2y}{dx^2} = \dfrac{-\operatorname{cosec}^3 2t \cdot \operatorname{cosec} t}{3} \).

6.
Solve the following linear programming problem graphically :
Maximize \(Z = 10500x + 9000y\)
Subject to constraints
\(x + y \le 50\)
\(2x + y \le 80\)
\(x, y \ge 0\)