Toppers Notes on Differentiability of Functions

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Table of Content

  • Definition.
  • First principle formula.
  • Standard rules of differentiability.
  • Derivatives of some standard functions.
  • Rules of differentiation.
  • Product & Quotient rules of differentiation.
  • Chain rule of differentiation.
  • Differentiation of parametric functions.
  • Differentiation of implicit functions.
  • Differentiation of using logarithms.
  • Differentiation by trigonometric substitutions.
  • Differentiation of infinite series.
  • Algebra of differentiable functions.
  • Successive differentiation.
  • Partial differentiation.
  • Higher-order partial differentiation.