The NCERT solutions for the questions given in Chapter 13, Limits and Derivatives, of the Class 11 NCERT textbooks are available here. In this chapter students learn about Limits and Derivatives in detail. Students can easily score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.
The Class 11 NCERT solutions for Limits and Derivatives are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the Class 11 maths Chapter 13 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well.
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NCERT Solutions for Class 11 Maths Chapter 13- Limits and Derivatives
The major concepts of Maths covered in Chapter 13- Limits and Derivatives of NCERT Solutions for Class 11 includes:
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 derivative of functions
13.5.2 Derivative of polynomials and trigonometric functions
Exercise 13.1 Solutions 32 Questions
Exercise 13.2 Solutions 11 Questions
Miscellaneous Exercise On Chapter 13 Solutions 30 Questions
NCERT Solutions for Class 11 Maths Chapter 13- Limits and Derivatives
The chapter Limits and Derivatives belongs to the unit Calculus, that adds up to 5 marks of the total 80 marks. There are 2 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Limits and Derivatives clearly. Some of the topics discussed in Chapter 13 of NCERT Solutions for Class 11 Maths are as follows:
- The expected value of the function as dictated by the points to the left of a point defines the left hand limit of the function at that point. Similarly the right hand limit.
- Limit of a function at a point is the common value of the left and right hand limits, if they coincide.
- For a function f and a real number a, lim x → a f(x) and f (a) may not be the same (In fact, one may be defined and not the other one).
- Different properties and functions of limits and derivatives
Key Features of NCERT Solutions for Class 11 Maths Chapter 13- Limits and Derivatives
Studying the Limits and Derivatives of Class 11 enables the students to understand the following:
Derivative introduced as rate of change both as that of distance function and geometrically.Intuitive idea of limit.Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.