Founder @ "JEEnlight.com" | YouTube @ "Abhishek Mishra [IIT Kgp]" | PhD in Neuroscience, Germany | IIT Kharagpur B.Tech | Mathematics

Abhishek Mishra

In this course, we will extend our understanding in Calculus. We will learn some of the most important fundamental concepts in Calculus - Continuity & Differentiability. This course is in continuation of my course on Limits & Derivatives.

CBSE Class 12

English

Continuity And Differentiability : Class XII NCERT Mathematics - Calculus Course II

Continuity & Differentiability

Calculus

Mathematics

Class 6-12

Become a topper in your school and ace your board exams by learning from best educators in the country

CBSE

CBSE (Central Board of Secondary Education)

Welcome to the course. We briefly look at the course overview - all the concepts which we will learn in this course.

Continuity and Differentiability Course Overview

We extend our knowledge of right hand and left hand limit, and apply it to understand the concept of Continuity.

Continuity - Introduction

We solve some examples for finding continuity of a function at a point in it's domain.

Continuity - Solved Examples

We understand the conditions for continuity of a function in its domain.

Continuity of a function

We solve some interesting problems using our knowledge of continuity of a function.

Continuity of a function - Solved Examples

We have a look at few more examples. Also we learn that polynomial functions are continuos.

Continuity of a Polynomial Function

We use algebra of continuos function to solve different problems

Algebra of Continuity

We understand the concept of continuity of composite functions.

Continuity of Composite Functions

We understand the concept of Differentiability at a point, and also for a function in its domain.

Differentiability - Introduction

We prove that every differentiable function is continuos, whereas the converse is not true.

Every Differentiable function is continuos, but the converse is not true.

Wee understand how to find derivative of composite functions, and also functions in implicit form.

Derivatives of Composite Functions - Solved Examples

We learn to find the derivative of sin inverse function.

Derivatives of Inverse function

We learn to find derivative of tan inverse and cos inverse function.

Derivative of tan inverse x and cos inverse x.

We understand the derivative of sec inverse x

Derivative of sec inverse x

We find the derivative of cosec inverse x, and review the derivative of all inverse trigonometric functions.

Summary of derivative of inverse functions.

We introduce the concept of exponential functions.

Exponential function

We understand the concept of logarithmic function as inverse of exponential function.

Inverse of exponential function : Logarithmic function

We extend our understanding of logarithmic functions.

Logarithmic function

We derive some very useful properties of logarithmic functions.

Properties of logarithmic functions

We find out the derivative of e^x to be equal to the function itself.

Derivative of e^x = e^x

We find out derivative of log x , and also solve some problems.

Derivative of log x to the base e = ?

We solve some example problems based on our knowledge of Derivatives.

Logarithmic Differentiation

We solve some problems, and also have a look at derivative for parametric form.

Solved Examples

We learn how to find second order Derivatives.

Second order derivative

We understand two very important theorem in Calculus : Rolle's Theorem & Mean Value Theorem (MVT).

Rolle's Theorem & Mean Value Theorem

Don't fear Mathematics, but embrace it. Join me to see mathematics as an exercise, not a subject. Been doing that for 15 years


Maninder Singh Sidhu

In this course, we will learn to find derivatives of implicit functions, parametric functions and some other functions by using chain rule, product rule, quotient rule and also by logarithm in some cases

Differentiation in the Simplest Way for Class XII

Craze to explore knowledge with learner's!!
Selected IBPS RRB PO & UPSC CDS/NDA!!👍

Nikhil Yadav

This Course will cover each and every concept of Differentiability aspirants will clear there doubts very easily within 1 month hard work!!

Improving Differentiability With Simple Concepts: Class XII

I am currently studying B E in NMIT. I love mathematics and i have passion for teaching.

Varun Aithal

This course deals with the basic concepts of continuity and differentiability with all the different formulas and methods to find the derivative of a function and also its applications.

Continuity and Differentiation - Class 12

Pursuing B.ed!! Teaching experience more than 5 year!!  loves Mathematics !! Completed B.com and M.com!!


Meenakshi Garg

This is a Complete study of differentiation for Class 12

(Hindi) Differentiation: Class 12

 ||Integrated Msc In Mathematics and 
Computing||.I believe in success through hard work & dedication.

Anisha Agarwal

This Course covers Marks scoring topic, keep practicing for class 12 students.

(Hindi) Application of Derivatives: Class 12

🔷 YouTuber with more than 3.2 k Subscribers
🔷25 years teaching experience.
🔷I did my Masters in mathematics and also an BEd.

Anusuya Verma

In this course, the educator is discussing 
Some important questions of the definite integration, some important questions based on properties of definite integrals, some typical problems based on definite integrals

Lessons

25 lessons • 4h 12m

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Continuity and Differentiability Course Overview

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Continuity - Introduction

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Continuity - Solved Examples

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Continuity of a function

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Continuity of a function - Solved Examples

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Continuity of a Polynomial Function

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Algebra of Continuity

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Continuity of Composite Functions

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Differentiability - Introduction

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Every Differentiable function is continuos, but the converse is not true.

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