first derivative vs partial

partial vs first derivative

first derivative and partial both are nouns.

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

Word	Noun	Adjective	Verb	Adverb
first derivative	Yes	No	No	No
partial	Yes	Yes	No	No

As nouns, partial is a hyponym of first derivative; that is, partial is a word with a more specific, narrower meaning than first derivative:

first derivative: the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
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

Other hyponyms of first derivative include curvature, partial derivative.

first derivative (noun)	partial (noun)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx	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 harmonic with a frequency that is a multiple of the fundamental frequency

first derivative (adjective)	partial (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 first derivative and partial

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