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▸
    • A.1 Powers and exponentials
    • A.2 Trigonometric
    • A.3 Inverse trigonometric
    • A.4 Hyperbolic
    • A.5 Common compositions
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Section A

Appendix A: extended derivative table

In this section

  1. A.1 Powers and exponentials
  2. A.2 Trigonometric
  3. A.3 Inverse trigonometric
  4. A.4 Hyperbolic
  5. A.5 Common compositions
Usage rule: apply only where expressions are defined; denominators must be nonzero.

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