Mathematical formulas

Differential Calculus

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Sections

  • 1Notation, functions and domains▸
  • 2Limits▸
  • 3Continuity▸
  • 4Derivative and geometric interpretation▸
  • 5Differentiation rules▸
  • 6Higher-order derivatives▸
  • 7Mean value theorem▸
  • 8Function analysis▸
  • 9Optimization▸
  • 10Linear approximations and differentials▸
  • 11Taylor series (introduction)▸
  • 12L'Hôpital and indeterminate limits▸
  • 13Implicit and related functions▸
  • 14Related rates▸
  • 15Graphs and asymptotic behavior▸
  • 16Guide to differentiate and analyze▸
  • AAppendix A: extended derivative table▸
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Featured topics

Chain rule

Review the chain rule and basic differentiation rules for composed functions and products.

Key formulas

  • DIF-054
  • DIF-055

    Leibniz notation for composition.

  • DIF-051
  • DIF-053

Related sections

  • 5. Differentiation rules

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