# NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives provides answers for all the questions enlisted under this chapter. NCERT Solutions include a complete set of questions and answers organized with an 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.

## Access Answers to NCERT Class 12 Maths Chapter 6 Application of Derivatives

 Also Access NCERT Exemplar for Class 12 Maths Chapter 6 CBSE Notes for Class 12 Maths Chapter 6

### NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

This chapter mainly has 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 solutions for all the questions listed under the 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.

## Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 6

### Give me an overview of Chapter 6 of NCERT Solutions for Class 12 Maths?

This chapter has an overall of six topics/ subtopics with miscellaneous question and answer at the end. Provided below are the list of topics discussed in this chapter.
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

### Why should I download CoolGyan’S NCERT Solutions for Class 12 Maths Chapter 6?

There are numerous reasons why you should download the NCERT Solutions for Class 12 Maths Chapter 6 designed by the experts at CoolGyan’S.
1. The CBSE board recommends the students to refer to the NCERT textbooks as it is one of the best study materials from the exam point of view.
2. NCERT Solutions plays a significant role as the answers to all the questions present in the NCERT textbook are available in one place.
3. The subject matter experts and faculty at CoolGyan’S provide solutions in a concise manner to help students score well in the exam.

### What are the main applications of derivatives in our daily life according to NCERT Solutions for Class 12 Maths Chapter 6?

Derivatives are used to determine the rate of change, intervals of increasing or decreasing, Lagrange’s Mean Value Theorem, Rolle’s Theorem, point when tangent is parallel or perpendicular, slope of tangent or normal, approximate value of numbers etc. These applications are explained in a simple and understandable language by our team of experts in order to help students to obtain a clear idea about the important concepts. Numerous examples are provided under each application to improve the conceptual knowledge among students irrespective of their intelligence quotient.