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

Education Journalist | Study Abroad Lead

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.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.4

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

Read More: NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

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.
A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.
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 a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:
3.
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 \[ 3q(x)-\pi. \]
View Solution
4.
In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.
View Solution
5.
The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:
- \( e^{-3} \)
- \( -1 \)
- \( 1 \)
- \( -e^3 \)
View Solution
6.
Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.
View Solution

Similar Mathematics Concepts

Applications of Derivatives: Tangents, Maxima-Minima and Explanation

NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.1

NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.2

NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.3

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

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

NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise Solutions

Inflection Point: Calculus, Graph & Concavity

Applications of Derivatives MCQs

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Matrices: Types, Properties, Formulas & Examples

Relations and Functions: Explanation, Types, and Representation

Types of Matrices: Row, Column, Zero, Symmetric, Skew Symmetric

Minors and Cofactors of Determinant: Definition, Formula and Solved Examples

Operations on Matrices: Addition, Subtraction, Multiplication and Solved Examples

Determinants: Types, Properties & Examples

Types of Relations: Definition, Classification and Examples

Properties of Determinants: Explanation, Important Properties and Examples

Plane: Equation of a Plane in Three-Dimensional Space

Invertible Matrices: Theorems, Properties and Examples

Symmetric and Skew Symmetric Matrices: Definition and Properties

Types of Functions: Elements, Equations, Range, and Domain

Introduction to Three-Dimensional Geometry: Distance, Important Formulae

Angle between Two Lines: Formula, Derivation & Calculation

Binary Operations: Types, Properties and Examples

Addition of Vectors: Definition, Formula, Laws and Properties

Types of Vectors: Definition, Properties & Examples

Definite Integral: Formula, Properties, Application & Examples

Integration by Partial Fractions: Formula, Steps & Examples

Angle Between a Line and a Plane: Formulas and Solved Examples

Mathematics NCERT Solutions

NCERT Solutions For Class 12 Mathematics Chapter 13: Probability

NCERT Solutions For Class 12 Mathematics Chapter 9: Differential Equations

NCERT Solutions For Class 12 Mathematics Chapter 7 Integrals

NCERT Solutions For Class 12 Mathematics Chapter 12: Linear Programming

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

NCERT Solutions For Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

You can also check

Comments

No Comments To Show

SUBSCRIBE TO OUR NEWS LETTER

COLLEGE NOTIFICATIONS

EXAM NOTIFICATIONS

NEWS UPDATES

Download the Collegedunia app on

downloadapp_banner image

downloadapp_banner image

© 2026 Collegedunia Web Pvt. Ltd. All Rights Reserved