Table of Contents
Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 6 Application of Derivatives, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Exemplar Solutions for Class 12 provide useful solutions for improving conceptual knowledge and preparing for JEE.
The solutions are carefully solved using student-friendly terms while adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12 pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
The rate of change of values, increasing and decreasing functions, tangents and normals, approximations, maxima and minima, and many other subjects are covered in this chapter of NCERT Exemplar Solutions for Class 12 Maths. The following are some key concepts:
- 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.
- First Derivative Test
- Second Derivative Test
The NCERT Exemplar Solutions can be used as a quick reference to help students understand crucial and complicated topics.
NCERT Exemplar Solutions For Class 12 Maths Chapter 6 Exercises:
The detailed NCERT Exemplar 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 Class 12 Exemplar Solutions for Chapter 6 Application of Derivatives
The topics discussed in Chapter 6 – Application of Derivatives are listed below:
| 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 Class 12 Exemplar Solutions for Maths Chapter 6 Application of Derivatives
- NCERT Exemplar Solutions will aid in the development of student confidence.
- The content is well-structured to make learning and understanding easier for students.
- The NCERT Exemplar Solutions are based on the most recent CBSE curriculum update for 2021-22.
- This chapter will assist students in strengthening their understanding of derivatives.
- Students can use NCERT Exemplar Solutions to help them with their assignments and competitive exams.
FAQ
What are the main applications of derivatives in our daily life according to NCERT Exemplar Solutions for Class 12 Maths Chapter 6
Derivatives are used to calculate the rate of change, growing or decreasing intervals, Lagrange's Mean Value Theorem, Rolle's Theorem, the point at which a tangent is parallel or perpendicular, the slope of a tangent or normal, and the approximate value of numbers, among other things. Our team of professionals explains these applications in simple and straightforward terms to help students grasp the key principles. Several examples are presented beneath each application to help students develop their conceptual understanding, regardless of their cognitive quotient.
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In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.
Give me an overview of Chapter 6 of NCERT Class 12 Maths Exemplar Solutions
The topics/ subtopics with miscellaneous questions and answers given in this chapter are as follows: 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 Infinity learn NCERT Class 12 Exemplar Solutions for Maths Chapter 6
There are various reasons why you should download Infinity Learn's NCERT Class 12 Exemplar Solutions for Maths Chapter 6 created by specialists. The CBSE board advises students to use the NCERT textbooks because they are one of the greatest study materials for exams. NCERT Exemplar Solutions are important since they provide answers to all of the questions in the NCERT textbook in one spot. Infinity Learn's subject matter specialists and teachers deliver solutions in a clear manner to assist students in performing well on term-wise exams
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