Etymologically
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differential

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Pronunciation

  • /ˌdɪf(ə)ˈrentʃ(ə)l/, /ˌdɪf(ə)ˈrenʃ(ə)l/[1]

Etymology

It is borrowed from Medieval Latin differentiālis (“of or relating to difference”),[2][3][4] from Latin differentia (“difference, diversity”),[3][4] the noun of differō (“to carry apart, differ”), with the adjective suffix -ālis.[2] The mathematical sense followed French différentiel.[2]

Earliest recorded meaning

Serving to distinguish one thing from another, distinctive: 1615.[2] Etymonline and Merriam-Webster date the adjective only from the 1640s (1647).[3][5]

Semantic evolution

From "distinctive" and "depending on a difference" (1618), applied especially to taxes and rates that varied with circumstances,[2][6] the word was taken up by the new calculus around 1700: differential calculus is recorded from 1702, and the noun differential, an infinitesimally small change in a quantity, from 1702 or 1704.[2][3][5] Mechanics borrowed it in 1804 for instruments working with different rates of motion,[2] and in 1872 the gear that lets two wheels on one axle turn at different speeds became a differential.[2] Later nouns name a difference in prices (1879) and in wages between industries or groups of workers (1894),[2] and in medicine a differential diagnosis (1829) sorts out conditions with similar symptoms.[2]

Timeline

  • 1615 – distinguishing, distinctive.[2]
  • 1618 – depending on or varying with a difference.[2]
  • 1640s – Etymonline's first date for the adjective.[3]
  • 1702 – in mathematics, of differentials, as in differential calculus.[2][3]
  • 1704 – the noun, an infinitesimal difference, according to Etymonline and Merriam-Webster.[3][5]
  • 1829 – differential diagnosis.[2]
  • 1872 – the differential gear.[2]
  • 1879 – a difference in charges or prices.[2]
  • 1894 – a difference in wages.[2]

Modern meaning

Adjective

  1. Relating to, showing or depending on a difference; varying with circumstances.
  2. Making a distinction; distinctive.
  3. (mathematics) Relating to derivatives or to differentiation.
  4. (physics, engineering) Based on the difference between two motions, forces or effects.

Noun

  1. A difference between comparable things, especially in pay between groups of workers or in prices.
  2. (mathematics) An infinitesimally small change in a variable, or the product of a function's derivative and such a change.
  3. A set of gears that lets the driving wheels of a vehicle turn at different speeds, as when cornering.

Word family

  • differentially
  • differential analyzer
  • differential coefficient
  • differential equation
  • differential gear
  • limited-slip differential
  • partial differential equation
  • differential diagnosis

References

  1. ^ Wiktionary, the free dictionary, https://en.wiktionary.org
  2. ^ a b c d e f g h i j k l m n o p q Oxford English Dictionary Online (accessed March 2026), Oxford: Oxford University Press
  3. ^ a b c d e f g Harper, Douglas. Online Etymology Dictionary, https://www.etymonline.com
  4. ^ a b Klein, Ernest. A Comprehensive Etymological Dictionary of the English Language. 2 vols. Amsterdam: Elsevier, 1966–1967.
  5. ^ a b c Merriam-Webster's Collegiate Dictionary (2003), 11th ed., Springfield, Mass.: Merriam-Webster
  6. ^ Shorter Oxford English Dictionary on Historical Principles (2002), 5th ed., ed. William R. Trumble and Angus Stevenson, Oxford: Oxford University Press