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▸
    • 7.1Rolle's theorem
    • 7.2Mean value theorem (MVT)
    • 7.3Consequences
  • 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

Mean value theorem

Rolle's theorem, the mean value theorem and corollaries linking derivatives to average rates of change.

Key formulas

  • DIF-081
  • DIF-082
  • DIF-083

    Equivalent form of the MVT.

  • DIF-084

Related sections

  • 7. Mean value theorem

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