NCERT Solutions for Class 12 Maths Chapter 6 – Free PDF Download
The NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives provides answers for all the questions listed under this chapter which is included in the Class 12 Maths CBSE Syllabus for 2023-24. These NCERT Solutions include a complete set of questions and answers organised with an advanced level of difficulty, which provides students with sufficient opportunity to apply their skills. Students can download these NCERT Solutions for Class 12 Maths and strengthen their skills.
Further, students can clarify their doubts while solving problems at any time by simply downloading the PDF version of the NCERT Solutions for Class 12 Maths. Clarify doubts instantly by downloading the NCERT Solutions for Class 12 Maths Chapter 6 from the link provided below.
Download PDF of NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives
Access Answers to NCERT Class 12 Maths Chapter 6 Application of Derivatives
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| 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 of NCERT Solutions for Class 12 Maths 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
Students can utilise the NCERT Solutions for Class 12 Maths Chapter 6 for quick references to comprehend key and complex topics.
NCERT Solutions for Class 12 Maths Chapter 6 Exercises
Get detailed NCERT Solutions for all the questions listed under the below exercises:
Exercise 6.1 Solutions: 18 Questions (10 Long, 6 Short, 2 MCQs)
Exercise 6.2 Solutions: 19 Questions (10 Long, 7 Short, 2 MCQs)
Exercise 6.3 Solutions: 27 Questions (14 Long, 11 Short, 2 MCQs)
Exercise 6.4 Solutions: 9 Questions (7 Short, 2 MCQs)
Exercise 6.5 Solutions: 29 Questions (15 Long, 11 Short, 3 MCQs)
Miscellaneous Exercise Solutions: 24 Questions (14 Long, 4 Short, 6 MCQs)
NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives
The main topics covered in 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
- NCERT Solutions will help in boosting students’ confidence levels.
- The content is well-structured so that it becomes easier for students to learn and understand.
- NCERT Solutions are based on the latest CBSE syllabus for 2023-24.
- This chapter will help the students to strengthen their foundation on the application of derivatives.
- NCERT Solutions are a valuable aid for students in their assignments and competitive exams.
Disclaimer –Â
Dropped Topics – 6.4 Tangents and Normals, 6.5 Approximations, Examples 45, 46, Ques. 1, 4–5 and 20–24 (Miscellaneous Exercise), Page 245 Points 4–10 in the Summary
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.
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 BYJU’S NCERT Solutions for Class 12 Maths Chapter 6?
1. The CBSE board recommends the students 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 BYJU’S provide solutions in a concise manner to help students score well in the board exams.
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