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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.
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| Also Access |
| NCERT Exemplar for Class 12 Maths Chapter 6 |
| CBSE Notes for Class 12 Maths Chapter 6 |
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
(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.
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)
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 |
Disclaimer –
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
This chapter has an overall of six topics/subtopics with miscellaneous questions and answers at the end. Provided below is 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
There are numerous reasons why you should download the NCERT Solutions for Class 12 Maths Chapter 6, designed by the experts at BYJU’S.
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.
Derivatives are used to determine the rate of change, intervals of increasing or decreasing, Lagrange’s Mean Value Theorem, Rolle’s Theorem, a point when tangent is parallel or perpendicular, the slope of tangent or normal, an approximate value of numbers etc. These applications are explained in 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 conceptual knowledge among students irrespective of their intelligence quotient.
