Continuity & Differentiability

person icon Tutorialspoint

4.5 ★★★★ ★

Buy Now

Continuity & Differentiability

Name: Continuity &amp;amp; Differentiability
Rating: 4.5 (95 reviews)
Author: Tutorialspoint

Simply Easy Learning

updated on icon Updated on Apr, 2024

language icon Language - English

person icon Tutorialspoint

category icon Teaching & Academics,Calculus,Mathematics

Lectures -128

Duration -10.5 hours

4.5 ★★★★ ★

Enroll Course

Training 5 or more people ?

Get your team access to 10000+ top Tutorials Point courses anytime, anywhere.

Course Description

Calculus is used in every branch of the physical sciences, actuarial science, statistics, engineering and in other fields wherever a problem can be mathematically modele and an optimal solution is desired.Continuity of functions is one of the core concepts of topology.A continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output while a differentiable function of one real variable is a function whose derivative exists at each point in its domain.This video series is based on Continuity And Differentiability for class 12 students for board level and IIT JEE Mains.

Audience

These video classes have been designed for Class 12 students (Non-medical students and commerce students with Mathematics), those who are preparing for CBSE and other Board Exams for Intermediate, +2 and IIT JEE entrance exams. These classes will also be helpful for students in preparing them for Competitive Examinations for Engineering Institutes like IIT JEE etc.

Curriculum

Check out the detailed breakdown of what’s inside the course

Continuity & Differentiability
8 Lectures

Continuity & Differentiability Syllabus 08:10 08:10
Recap of Limits 06:02 06:02
Overview of Continuity 06:59 06:59
Conditions of Continuity 05:33 05:33
Removable Discontinuity 05:02 05:02
Irremovable Discontinuity Part 1 03:33 03:33
Irremovable Discontinuity Part 2 04:09 04:09
Left Continuous & Right Continuous Function 01:52 01:52

Algebra of Continuous Functions
7 Lectures

Problems On Continuity
6 Lectures

Always Continuous Functions
10 Lectures

Miscellaneous Problems On Continuity
5 Lectures

Differentiability
11 Lectures

Differentiation
5 Lectures

Composition Of Functions
8 Lectures

Inverse Trigonometric Functions Differentiation
10 Lectures

Implicit Functions Differentiation
6 Lectures

Exponential & Logarithmic Functions
1 Lectures

Logarithmic Differentiation
5 Lectures

Differentiation of Infinite Series
4 Lectures

Differentiation of Parametric Functions
4 Lectures

Higher Order Derivatives
5 Lectures

Differentiation Using Trigonometric Substitutions
4 Lectures

Differentiation of One Function With Respect To Another
3 Lectures

Rolle's Theorem
7 Lectures

Lagrange’s Mean Value Theorem
4 Lectures

Miscellaneous Problems On Differentiation
4 Lectures

IIT JEE Exams Questions
10 Lectures

Instructor Details

Tutorialspoint

Simply Easy Learning

Tutorials Point originated from the idea that there exists a class of readers who respond better to online content and prefer to learn new skills at their own pace from the comforts of their drawing rooms.

The journey commenced with a single tutorial on HTML in 2006 and elated by the response it generated, we worked our way to adding fresh tutorials to our repository which now proudly flaunts a wealth of tutorials and allied articles on topics ranging from programming languages to web designing to academics and much more.

40 million readers read 100 million pages every month

Our Text Library Content and resources are freely available and we prefer to keep it that way to encourage our readers acquire as many skills as they would like to. We don't force our readers to sign up with us or submit their details either to use our Free Text Tutorials Library. No preconditions and no impediments, Just Simply Easy Learning!

We have established a Digital Content Marketplace to sell Video Courses and eBooks at a very nominal cost. You will have to register with us to avail these premium services.