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NCERT Solutions for Class 11 Maths Chapter 13 – Limits and Derivatives

NCERT Solutions for Class 11 Maths Chapter 13 – Limits and Derivatives, prepared by Instasolv is one of the highly recommended study materials to refer to while you are preparing for your exams. Our subject matter experts of maths have created solutions to all the exercises of the chapter.  These solutions are also extremely helpful while you are doing your homework.

Limits and Derivatives have been divided into different sections which include limits, intuitive idea of derivatives, limits of trigonometric functions and derivatives. The chapter contains various solved examples and also 2 unsolved exercises for students to practice. It is also one of the most important topics in maths which act as a base to many more important chapters. And, so it must be studied well and with full understanding by ensuring that all your concepts are being cleared for exams like JEE Main and JEE Advanced.

The solutions provided in these NCERT Solutions for Class 11 Maths Chapter 13 contain lucid explanations to all the topics and each and every question is solved in detail to provide you with better understanding. Efforts have been made by Instasolv to make the explanations in a way so as to give you a clear understanding of each topic.

Important Topics for NCERT Solutions for Class 11 Maths Chapter 13

Chapter 13 of NCERT Solutions for Class 11 Maths deals with Limits and Derivatives. It is an important chapter because the basis of differentiation and integration is taught in this chapter. It is advised to thoroughly study the chapter as only after all your concepts are clear in the chapter you will be able to perform well in the other related chapters.

The chapter deals with the topic of calculus, algebra of limits and derivatives as well as derivatives of certain standard functions. Some of the important topics discussed in this chapter are calculus which is a mathematical study of the continuous changes and its two different branches and also about the Limits and Derivatives.

Limits

Limits, as explained in the chapter, are used to define integrals, derivatives and continuity. The limit is defined as a value that the function approaches the output for the given input values. Different properties of limits are also described in the chapter.

Derivatives

Derivatives are defined as the varying rate of change of a function with respect to an independent variable. It is used to measure one variable (dependent variable) with respect to another variable (independent variable). The derivative of a function y= f(x) measures the rate at which the value of y changes with respect to the change of the variable x.

The derivative of a function f at a is defined as 

For the function f, the derivative is said to be f’(x) as mentioned above.

The derivative of y with respect to x is written as dy/dx and the derivative of x with respect to y is written as dx/dy. The different properties of derivatives are also talked about in the chapter.

Exercise-wise Discussion of NCERT Solutions for Class 11 Maths Chapter 13

  1. NCERT Class 11 Maths Chapter 13 chapter consists of 3 exercises that will help you revise the concepts of limits and derivatives that you have learned in the chapter. 
  2. Exercise 13.1 deals with questions on limits and there are a total of 32 questions in the exercise.
  3. Exercise 13.2 consists of 11 questions on the topic derivatives.
  4. The miscellaneous exercise consists of 30 questions from the chapter for practice.

Benefits of NCERT Solutions for Class 11 Maths Chapter 13 by Instasolv

Our NCERT Solutions for Class 11 Maths Chapter 13 will help you study the topics and concepts of the chapter in an easy way. These solutions will help you to have a quick revision of the entire chapter. The solutions are provided with the explanations and are quite detailed with step-wise answers. Apart from this, these NCERT Solutions will help you to solve the exercises and can be used as an effective tool to score well in CBSE exams. After referring to these solutions you will be able to solve any question related to the topic Limits and Derivatives.