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partial derivative vs differential

differential vs partial derivative

partial derivative and differential both are nouns.

partial derivative is not an adjective while differential is an adjective.

Word NounAdjectiveVerbAdverb
partial derivative Yes No No No
differential Yes Yes No No
As nouns, differential is a hypernym of partial derivative; that is, differential is a word with a broader meaning than partial derivative:
  • partial derivative: the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
  • differential: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
Other hypernyms of partial derivative include derivative, derived function, differential coefficient, first derivative.
partial derivative (noun) differential (noun)
the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant 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
a quality that differentiates between similar things
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
partial derivative (adjective) differential (adjective)
relating to or showing a difference
involving or containing one or more derivatives
Difference between partial derivative and differential

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