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differential vs first derivative

first derivative vs differential

differential and first derivative both are nouns.

differential is an adjective but first derivative is not an adjective.

Word NounAdjectiveVerbAdverb
differential Yes Yes No No
first derivative Yes No No No
As nouns, differential and first derivative are synonyms defined as:
  • differential and first derivative: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
Other synonyms of differential include derivative, derived function, differential coefficient.
differential (noun) first derivative (noun)
a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
a quality that differentiates between similar things
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
differential (adjective) first derivative (adjective)
relating to or showing a difference
involving or containing one or more derivatives
Difference between differential and first derivative

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