NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

NCERT Solutions for Class 12 Maths Chapter 6 contains the answers to all of the questions posed in this chapter. Application of Derivatives NCERT Solutions provides you with a comprehensive collection of questions and answers arranged at an advanced level of difficulty, & allowing you to apply the basic knowledge. 

• All you need to know about NCERT Solutions For Class 12 Maths

Grab your copy of NCERT Solutions for Class 12 Maths Chapter 6 for a jump start for your chapter 6 exam preparation. 

Download NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives PDF

Our Maths specialists solve Class 12 Maths NCERT Solutions in a step-by-step manner, following NCERT rules, to assist you in the Class 12 board exams. Download NCERT Solutions for Class 12 Maths Chapter 6 in your system and start our preparation for the finals.

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What you will get in NCERT Solutions for Class 12 Maths Chapter 6?

The rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, maxima and minima, and many other topics are covered in this chapter. The following are the key topics discussed in NCERT Class 12 Maths Application of Derivatives Solutions:

6.1	Introduction
6.2	Rate and change of quantities
6.3	Increasing and decreasing functions
6.4.	Tangents and normals
6.5	Approximations
6.6	Maxima and minima

Let us now have a quick look at the NCERT Solutions for Class 12 Maths Chapter 6 exercise solutions of the chapter as well-

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)

CBSE Class 12 Maths Chapter 6- Exercise 6.1

The introduction offers basic recapitulations of the last read chapter where students get introduced with the term derivatives of a composite function, implicit functions, logarithmic functions, inverse trigonometric functions, and exponential functions.  The chapter covers –

1. Equation of a tangent and normal to curve at a point.
2. Calculate the turning points on the graph that helps in evaluating the points of a maximum and minimum of functions to occur.
3. Find out the intervals where the functions increase or decrease.
4. Lastly, approximation and errors.

CBSE Class 12 Maths- Chapter 6 Exercise 6.2

This section helps students to relearn whatever they went through in the last Class. Topics covered in these sections are-

1. The rate of change of quantity with respect to another is represented through dy/dx.
2. The chapter will also elaborate on the notion by application of chain rule.

CBSE Class 12 Maths- Chapter 6 Exercise 6.3

This section of the chapter teaches the actual meaning of increase and decrease of function, how to determine whether a function is increasing or decreasing, definitions of functions,  and more.

CBSE Class 12 Maths- Chapter 6 Exercise 6.4

This portion of the chapter imparts a clear understanding of the equation of the straight line which you got introduced in the last chapter. This chapter will conclude the concept with detailed information such as

• Straight-line of curve y=f(x) with an infinite slope s, passing through a point given (a,b) is represented by- y-b=s(x-a)
• Students will also study about a tangent to a point on a curve is given as – {dy/dx}(a,b) and it is denoted by f(a). Therefore the equation stands as : y-b=f(a)(x-a)

Well, there is a whole lot to learn from this section.

CBSE Class 12 Maths Chapter 6 Exercise 6.5

This portion of the chapter works in recounting the notion of differentiation to find out approx values of certain quantities. Additionally, students will also learn, the importance of approximation, how to derive approximate value, the derivative of the dependent variable, independent variable, and more.

CBSE Class 12 Maths Chapter 6 Exercise 6.6

The last portion covers the notion of Maxima and Minima which are basically the maximum and minimum values of functions in the form of derivatives. This section also covers turning points on the graph, several sketch factors associated with the graphs, several definitions associated with maxima and minima, and more in this regard.

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Benefits of NCERT Solutions for Class 12 Maths Chapter 6

We are here with the benefits of following NCERT Solutions for Class 12 Maths Chapter 6:

1. The easy language format of the NCERT solutions is a definite path that lets you finish the syllabus on time.
2. It will aid in the development of student confidence.
3. The content is well-structured to make learning and understanding easier for students.
4. This chapter will assist students in solidifying their understanding of derivatives.
5. Students may use NCERT solutions to help them with their assignments and competitive tests.

Well, we have chalked down all the essential pointer associated with NCERT Solutions for Class 12 Maths Chapter 6. If you come across any queries, make sure to drop a comment below, we would be more than happy to help you. We wish you good luck with your CBSE Board.

FAQs: NCERT Solutions for Class 12 Maths Chapter 6