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

1

Chapter 13 "Limits and Derivatives" is the gateway to the Calculus section of class 11 Mathematics. Calculus, which is also called derivatives, limits, and algebra of limits, is defined as an offshoot of Mathematics that studies the change in the function value when the points in the domain change. Further, students will acquire knowledge of derivatives without defining it.

In the second half of the chapter, limits are defined along with some of its algebra. In the end, the chapter discusses the description of derivatives and some of their algebraic properties. Students will find two exercises to solve in this chapter and a miscellaneous exercise covering all the topics. The topics have been explained below in a gist.

  • The Natural Idea of Derivatives

The derivative of a function has been defined under this topic using real-life examples of distance travelled at separate intervals of time.

  • Limits

Limits have been discussed in this topic with explanations on sub-topics, like the algebra of limits, and limits of rational and polynomial functions.

  • Limits of Trigonometric Functions

Here, prepositions and theorems for functions that are needed to calculate the limits of a few trigonometric functions have been demonstrated.

  • Derivatives

How solutions to a variety of derivative problems can be found, algebra of derivatives of functions, and derivatives of trigonometric and polynomial functions are the sub-topics explained here.

 

 

 

Also See    
NCERT Solutions for Class 11 Maths Chapter 1- Sets NCERT Solutions for Class 11 Maths Chapter 2- Relations and Functions NCERT Solutions for Class 11 Maths Chapter 3 - Trigonometric Functions
NCERT Solutions for Class 11 Maths Chapter 4 - Principle of Mathematical Induction NCERT Solutions for Class 11 Maths Chapter 5 - Complex Numbers and Quadratic Equations NCERT Solutions for Class 11 Maths Chapter 6 - Linear Inequalities
NCERT Solutions for Class 11 Maths Chapter 7 - Permutations and Combinations NCERT Solutions for Class 11 Maths Chapter 8 - Binomial Theorem NCERT Solutions for Class 11 Maths Chapter 9 - Sequences and Series
NCERT Solutions for Class 11 Maths Chapter 10 - Straight Lines NCERT Solutions for Class 11 Maths Chapter 11 - Conic Sections NCERT Solutions for Class 11 Maths Chapter 12 - Introduction to the Three Dimensional Geometry
NCERT Solutions for Class 11 Maths Chapter 13 - Limits and Derivatives NCERT Solutions for Class 11 Maths Chapter 14 - Mathematical Reasoning NCERT Solutions for Class 11 Maths Chapter 15 - Statistics
NCERT Solutions for Class 11 Maths Chapter 16 - Probability    

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