derivative vs first derivative

first derivative vs derivative

derivative and first derivative both are nouns.

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

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

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

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

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

derivative (noun)	first 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

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

Difference between derivative and first derivative

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