NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

NCERT Solutions For Class 12 Maths Chapter 6 PDF Free Download

NCERT solutions for class 12 Maths Chapter 6-Application of Derivatives, provides solutions for all the questions enlisted under the chapter. NCERT Solutions include complete set of questions and answers organized with advanced level of difficulty which provide students sufficient opportunity to apply their skills. Students can download these NCERT Solutions of Class 12 maths and strengthen their skills.

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NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

This chapter mainly a set of topics like, the rate of change of quantities, Increasing and decreasing functions, Tangents and normals, Approximations, Maxima and minima and many more. Some of the important concepts are:

1. A function f is said to be

(a) increasing on an interval (a, b) if x1 < x2 in (a, b) ⇒ f(x1) < f(x2) for all x1, x2 ∈ (a, b)

(b) decreasing on (a,b) if x1 < x 2 in (a, b) ⇒ f(x1 ) > f(x2 ) for all x1 , x2 ∈ (a, b).

(c) constant in (a, b), if f (x) = c for all x ∈ (a, b), where c is a constant.

2. First Derivative Test

3. Second Derivative Test

NCERT Solutions For Class 12 Maths Chapter 6 Exercises:

Get detailed solution for all the questions listed under below exercises:

Exercise 6.1 Solutions : 18 Questions (10 Long, 6 Short, 2 MCQ)

Exercise 6.2 Solutions : 19 Questions(10 Long, 7 Short, 2 MCQ)

Exercise 6.3 Solutions : 27 Questions (14 Long, 11 Short, 2 MCQ)

Exercise 6.4 Solutions : 9 Questions (7 Short, 2 MCQ)

Exercise 6.5 Solutions : 29 Questions (15 Long, 11 Short, 3 MCQ)

Miscellaneous Exercise Solutions: 24 Questions (14 Long, 4 Short, 6 MCQ)

NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

The main topics covered NCERT Solutions for Class 12, Chapter 6-Application of Derivatives are:

Exercise

Topic

6.1

Introduction

6.2

Rate of Change of Quantities

6.3

Increasing and Decreasing Functions

6.4

Tangents and Normals

6.5

Approximations

6.6

Maxima and Minima

Others

Miscellaneous Q&A

Key Features of NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

  1. NCERT Solutions will help in boosting the student confidence level.
  2. Content is well-structured so that it becomes easier for students to learn and understand.
  3. NCERT Solutions are based on latest CBSE syllabus.
  4. This chapter will help the students to strengthen their foundation on application of derivatives.
  5. NCERT solutions are valuable aid for the students in their assignments and competitive exams.

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