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partial vs first derivative

first derivative vs partial

partial and first derivative both are nouns.

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

Word NounAdjectiveVerbAdverb
partial Yes Yes No No
first derivative Yes No No No
As nouns, first derivative is a hypernym of partial; that is, first derivative is a word with a broader meaning than partial:
  • partial: 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
  • first derivative: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
Other hypernyms of partial include derivative, derived function, differential, differential coefficient.
partial (noun) first derivative (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 the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
a harmonic with a frequency that is a multiple of the fundamental frequency
partial (adjective) first derivative (adjective)
showing favoritism
constituting or comprising a part or fraction of a possible whole or entirety
(followed by `of' or `to') having a strong preference or liking for
being or affecting only a part; not total
Difference between partial and first derivative

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