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

Education Journalist | Study Abroad Strategy Lead

NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Miscellaneous Exercise is provided in this article. Chapter 6 Miscellaneous Exercise Solutions covers the concepts of rate of change of quantities, increasing and decreasing functions, maxima and minima, and approximations.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 6 Miscellaneous Exercise

Check out the Class 12 Maths NCERT solutions chapter 6 Applications of Derivatives Miscellaneous Exercise Solutions

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

Class 12 Chapter 6 Applications of Derivatives Topics:

Linear Approximation Formula	Derivatives formula	Interpolation Formula
Lagrange Interpolation Formula	Newton Method Formula	Linear Interpolation Formula
Linear Regression Formula	Differential Calculus approximation	Continuity and Differentiability

CBSE Class 12 Mathematics Study Guides:

Math Formula	Math MCQs	Calculus
NCERT Solutions for Class 12 Maths	Difference between in Maths	Math Study Notes
Permutation and Combination	Arithmetic	Geometry
Mensuration	Algebra	Trigonometry

CBSE CLASS XII Related Questions

1.
The probability of hitting the target by a trained sniper is three times the probability of not hitting the target on a stormy day due to high wind speed. The sniper fired two shots on the target on a stormy day when wind speed was very high. Find the probability that
(i) target is hit.
(ii) at least one shot misses the target.
View Solution
2.
Sports car racing is a form of motorsport which uses sports car prototypes. The competition is held on special tracks designed in various shapes. The equation of one such track is given as

(i) Find \(f'(x)\) for \(0<x>3\).
(ii) Find \(f'(4)\).
(iii)(a) Test for continuity of \(f(x)\) at \(x=3\).
OR
(iii)(b) Test for differentiability of \(f(x)\) at \(x=3\).
View Solution
3.
Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions:

(i) What is the probability that selected person is a female?
(ii) If a male person is selected, what is the probability that he will not be suffering from lung problems?
(iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female.
OR
(iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male.
View Solution
4.
Obtain the value of \[ \Delta = \begin{vmatrix} 1 + x & 1 & 1 \\ 1 & 1 + y & 1 \\ 1 & 1 & 1 + z \end{vmatrix} \] in terms of \(x, y, z\). Further, if \(\Delta = 0\) and \(x, y, z\) are non–zero real numbers, prove that \[ x^{-1} + y^{-1} + z^{-1} = -1 \]
View Solution
5.
Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]
View Solution
6.
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 \(P(E/F)\).
View Solution