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Continuity & Differentiability: Online Course

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4.5

Continuity & Differentiability: Online Course

Simply Easy Learning

updated on icon Updated on Jun, 2025

language icon Language - English

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English [CC]

category icon Teaching and Academics ,Math,Statistics

Lectures -128

Duration -10.5 hours

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4.5

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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 modeled 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 course is based on Continuity And Differentiability for class 12 students for board level and IIT JEE Mains.

Audience

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

Continuity & Differentiability: Online Course

Curriculum

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

Continuity & Differentiability

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

Algebra of Continuous Functions

7 Lectures
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Problems On Continuity

6 Lectures
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Always Continuous Functions

10 Lectures
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Miscellaneous Problems On Continuity

5 Lectures
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Differentiability

11 Lectures
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Differentiation

5 Lectures
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Composition Of Functions

8 Lectures
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Inverse Trigonometric Functions Differentiation

10 Lectures
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Implicit Functions Differentiation

6 Lectures
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Exponential & Logarithmic Functions

1 Lectures
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Logarithmic Differentiation

5 Lectures
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Differentiation of Infinite Series

4 Lectures
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Differentiation of Parametric Functions

4 Lectures
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Higher Order Derivatives

5 Lectures
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Differentiation Using Trigonometric Substitutions

4 Lectures
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Differentiation of One Function With Respect To Another

3 Lectures
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Rolle's Theorem

7 Lectures
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Lagrange’s Mean Value Theorem

4 Lectures
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Miscellaneous Problems On Differentiation

4 Lectures
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IIT JEE Exams Questions

10 Lectures
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Instructor Details

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