first derivative vs derivative

derivative vs first derivative

first derivative and derivative both are nouns.

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

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

As nouns, first derivative and derivative are synonyms defined as:

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

Other synonyms of first derivative include derived function, differential, differential coefficient.

first derivative (noun)	derivative (noun)
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx	the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
	(linguistics) a word that is derived from another word
	a financial instrument whose value is based on another security
	a compound obtained from, or regarded as derived from, another compound

first derivative (adjective)	derivative (adjective)
	resulting from or employing derivation

Difference between first derivative and derivative

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