# Continuity & Differentiability

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• Continuity & Differentiability <p>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 function
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• Instructor Training (Educational Development)
• Level : Basic
• Video Tutorial
• Language : English
• ##### Ridhi Arora

Ridhi Arora holds a B. Tech... Read More

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.

• Continuity & Differentiability
• Algebra of Continuous Functions
• Problems on Continuity
• Always Continuous Functions
• Miscellaneous Problems on Continuity
• Differentiability
• Differentiation
• Composition of Functions
• Inverse Trigonometric Functions Differentiation
• Implicit Functions Differentiation
• Exponential & Logarithmic Functions
• Logarithmic Differentiation
• Differentiation of Infinite Series
• Differentiation of Parametric Functions
• Higher Order Derivatives
• Differentiation Using Trigonometric Substitutions
• Differentiation Of One Function With Respect To Another
• Rolle's Theorem
• Lagrange's Mean Value Theorem
• Miscellaneous Problems on Differentiation
• IIT JEE Exam Questions