NCERT Solutions for Class 11 Maths Chapter 13 – Limits and Derivatives
NCERT Solutions for Class 11 Maths Chapter 13 will increase the level of understanding about Limits and Derivatives theory. These NCERT Solutions are very important for the students of 11th class to clear their doubts and for solving problems related to constructions. It will also help students to frame a better understanding of all the graphical solutions effectively.
This article deals with NCERT Solutions for Class 11 Maths for Chapter 13. Maths is a significantly difficult subject. In class 11 it gets even more difficult. However, NCERT Solutions are here to help. The main objective of NCERT Solutions is high-quality study material. Furthermore, the explanation of the content in NCERT Solutions is in a very nice manner. These solutions will be helpful in the path of becoming a mathematician. Most noteworthy, NCERT Solutions help in strengthening the fundamentals.
NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives covers all the exercise questions of book and follows the latest guidelines of CBSE. Toppr app will help you to get complete NCERT Solutions.
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CBSE Class 11 Maths Chapter 13 – Limits and Derivatives NCERT Solutions
In this chapter, students learn about Limits and Derivatives in detail. Students can score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.
NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives is all about the methods to find values of limits and derivatives. We provide solutions in an easy and self-explanatory way. These NCERT Solutions will also help students to understand the basic and fundamental theorems.
Sub-topics covered under NCERT Solutions for Class 11 Maths Chapter 13
- 13.1 Introduction
- 13.2 Intuitive Idea of Derivatives
- 13.3 Limits
- 13.3.1 Algebra of limits
- 13.3.2 Limits of polynomials and rational functions
- 13.4 Limits of Trigonometric Functions
- 13.5 Derivatives
- 13.5.1 Algebra of derivatives of functions
- 13.5.2 Derivative of polynomials and trigonometric functions
NCERT Solutions for Class 11 Maths Chapter 13
NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives will guide students to understand this interesting topic. This study of the Limits and Derivatives of Class 11 enables the students to understand the concept of Derivative introduced as rate of change. Other topics are limits of polynomials and rational functions trigonometric, exponential and logarithmic functions, etc.
Let us discuss the sub-topics in detail.
This chapter is an introduction to Calculus. Calculus is the branch of mathematics mainly dealing with the study of change in the value of a function as the points in the domain change.
13.2: Intuitive Idea of Derivatives
Some applications from mathematics and science will disclose the need for derivatives. Many times we need to find the rate of change of some quantity. It is the derivative through which we can find rate easily.
The above discussion clearly points towards the fact that we need to understand the limiting process in greater clarity. We study a few related examples to gain some familiarity with the concept of limits.
13.3.1: Algebra of limit
In this topic, the student will learn that the limiting process performs addition, subtraction, multiplication, and division as long as the limits and functions are well defined.
13.3.2: Limits of polynomials and rational functions
In this topic, the student will learn various methods to find limit values of polynomial functions as well as of rational functions.
13.4: Limits of Trigonometric Functions
As we know that Trigonometric Functions are very widely used in algebra. Many facts and theorems about these functions, in general, come in handy to calculate limits of trigonometric functions.
There are many real-life situations where we need to carry out the processes where it is needed to know how a particular parameter is changing with respect to some other parameter. This is a basic need of finding derivative of a function at a given point.
13.5.1: Algebra of derivatives of functions
The student will learn many theorems to find the derivative of functions. These fundamental theorems will help a lot for finding the derivative.
13.5.2: Derivative of polynomials and trigonometric functions
The student will learn many theorems and methods for finding the derivative of polynomials and trigonometric functions in this section.
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