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# Chapter 13 - Limits and Derivatives

In this chapter, you’ll study Limits and Derivatives, which are a part of the calculus. Calculus is an important branch of mathematics that refers to the study of change in the value of a function when the points in the domain change. Limit describes how a function behaves close to a point, instead of at that particular point. The derivative of a function of a real variable, measures the sensitivity to change, of the function value (output value) with respect to a change in its argument (input value). In NCERT Solutions for Class 11 Maths, Chapter 13, you’ll learn some algebra of limits and derivatives (also known as differentiation) and prove some important theorems.

In-Depth knowledge of limits and derivatives is necessary because limits and derivatives are widely used by engineers, scientists, statisticians, medical experts, physicists, economists and more. You’ll find applications of limits and derivatives in integrals, velocity, continuity, astronomy, heat and light, motion electricity, costs and revenue and more.

## Let’s take a look at topics and sub-topics of Class 11 Maths Chapter 13, Limits and Derivatives

13.1 Introduction

13.2 Intuitive Idea of Derivatives

13.3 Limits

13.4 Limits of Trigonometric Functions

13.5 Derivatives

## In Class 11 Maths Chapter 13,  you will learn –

Section 13.2 – In this section, you’ll learn what velocity is and how to compute the average velocities for various time intervals (increasing as well as decreasing).

Section 13.3 – In this section, you’ll learn what limits are, right-hand limit and the left-hand limit of a function f(x), algebra of limits, limits of polynomials and rational functions. You’ll also prove some theorems.

Section 13.4 – In this section, you’ll learn the limits of some trigonometry functions. You’ll also prove some important theorems such as the sandwich theorem.

Section 13.5 – In this section, you’ll study what derivatives are, algebra of derivative of functions and derivative of polynomials and important trigonometric functions.

In this chapter, you are provided with several diagrams and examples along with their solutions for a clear understanding of Limits and Derivatives. To know more about Class 11 Maths Chapter 13 Limits and Derivatives, you should explore the exercises below. You can also download the Limits and Derivatives Class 11 NCERT Solutions PDF, solved by expert Maths trainers.

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