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Chapter 12 Class 11 Limits and Derivatives

Master Chapter 12 Class 11 Limits and Derivatives with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Updated for NCERT Class 11 Book - 2023-24 Edition.

Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question.

This chapter is the introduction to Calculus.

Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12.

In this chapter, we will learn

What limit is
Finding limits by putting values
Finding limits of questions with 0/0 form
Finding limits using xⁿ - aⁿ formula
Finding limits using Trigonometric Formula (sin x/x and 1-cos x)
Checking if limit exists, using Right Hand Limit and Left Hand Limit
What a derivative is
Finding derivatives at a point using first principle
Finding derivatives at the whole domain using first principle
Product rule of derivatives (uv)' = u'v + v'u
Quotient rule of derivatives (u/v)' = (u'v - v'u)/v²
Finding derivatives using formulas

Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.

Serial order wise

Ex 12.1 Start Learning

Ex 12.2 Start Learning

Examples Start Learning

Miscellaneous Start Learning

Concept wise

Limits - Definition Start Learning

Limits - 0/0 form Start Learning

Limits - x^n formula Start Learning

Limits - Of Trignometric functions Start Learning

Limits - Limit exists Start Learning

Derivatives by 1st principle - At a point Start Learning

Derivatives by 1st principle - At a general point Start Learning

Derivatives by formula - x^n formula Start Learning

Derivatives by formula - sin & cos Start Learning

Derivatives by formula - other trignometric Start Learning

Why Learn This With Teachoo?

Updated for NCERT Class 11 Book - 2023-24 Edition.

Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question.

This chapter is the introduction to Calculus.

Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12.

In this chapter, we will learn

What limit is
Finding limits by putting values
Finding limits of questions with 0/0 form
Finding limits using xⁿ - aⁿ formula
Finding limits using Trigonometric Formula (sin x/x and 1-cos x)
Checking if limit exists, using Right Hand Limit and Left Hand Limit
What a derivative is
Finding derivatives at a point using first principle
Finding derivatives at the whole domain using first principle
Product rule of derivatives (uv)' = u'v + v'u
Quotient rule of derivatives (u/v)' = (u'v - v'u)/v²
Finding derivatives using formulas

Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.