Continuity & Differentiability

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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
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