NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives
NCERT solutions for class 12 maths chapter 6 Application of Derivatives:In the previous chapter, you have already learnt the differentiation of inverse trigonometric functions, exponential functions, logarithmic functions, composite functions, implicit functions, etc. In this article, you will get NCERT solutions for class 12 maths chapter 6 application of derivatives. The derivative has many applications in various fields like social science, physics, optimization, science, engineering etc. NCERT solutions for class 12 maths chapter 6 applications of derivatives will cover questions on some specific applications like graph, functions and approximations. Questions based on the topics like finding the rate of change of quantities, equations of tangent and normal on a curve at a point, local minima and maxima of a function, intervals on which a function is increasing or decreasing, and approximate value of certain quantities are covered in the NCERT solutions for class 12 maths chapter 6 application of derivatives. Check all NCERT solutions at a single place which will help you to learn CBSE maths and science. Here you will get NCERT solutions for class 12 also.
If you are good in differentiation, it won't take much effort to learn its applications. This chapter alone has 11% weightage in 12 board final examination, which means you can score very easily by your basic knowledge of maths and basic differentiation. This chapter seems to be very easy but there are chances of silly mistakes as it requires knowledge of other chapters also. So, practice all the NCERT questions on your own, you can take help of these NCERT solutions for class 12 maths chapter 6 application of derivatives. There are five exercises with 102 questions. All these questions are explained in this NCERT solutions for class 12 maths chapter 6 application of derivatives article.
What is the derivative?
The derivative is the rate of change of distance(S) with respect to the time(t). In a similar manner, whenever one quantity (y) varies with another quantity (x), and also satisfy ,then or represents the rate of change of y with respect to x and or represents the rate of change of y with respect to x at . Let's take an example of a derivative
| Example- Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm. |
Solution- The area A of a circle with radius r is given by . Therefore, the rate of change of the area (A) with respect to its radius(r) is given by -
Thus, the area of the circle is changing at the rate of
Topics of NCERT Grade 12 Maths Chapter-6 Application of Derivatives
6.2 Rate of Change of Quantities
6.3 Increasing and Decreasing Functions
6.4 Tangents and Normals
6.6 Maxima and Minima
6.6.1 Maximum and Minimum Values of a Function in a Closed Interval
Frequently Asked Question (FAQs) - NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives
Question: Does CBSE provides the solutions of NCERT class 12 maths ?
No, CBSE doesn’t provided NCERT solutions for any class or subject.
Question: Where can I find the complete solutions of NCERT for class 12 maths ?
A Here you will get the detailed NCERT solutions for class 12 maths by clicking on the link.
Question: What are the important topics in chapter Application of Derivatives ?
Some applications of derivatives like rate of change of quantities, increasing and decreasing functions, tangents and normal's, approximations, maxima and minima, maximum and minimum values of a function in a closed interval are the important topics in this chapter.
Question: What is the weightage of the chapter Application of Derivatives for CBSE board exam ?
Application of derivatives has 11% weighatge in the CBSE 12th board final exam.
Question: Which is the best book for CBSE class 12 maths ?
NCERT is the best book for CBSE class 12 maths. Most of the questions in CBSE board exam are directly asked from NCERT textbook. You don't need to buy any supplementary book for CBSE class 12 maths. Practice all the NCERT problems on your own.
Question: Which is the official website of NCERT ?
NCERT official is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12.
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