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Definitions for: Derivative
[n] the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
[n] (linguistics) a word that is derived from another word; "`electricity' is a derivative of `electric'"
[n] a financial instrument whose value is based on another security
[adj] resulting from or employing derivation; "a derivative process"; "a highly derivative prose style"
Webster (1913) Definition: De*riv"a*tive, a. [L. derivativus: cf. F.
d['e]rivatif.]
Obtained by derivation; derived; not radical, original, or
fundamental; originating, deduced, or formed from something
else; secondary; as, a derivative conveyance; a derivative
word.
Derivative circulation, a modification of the circulation
found in some parts of the body, in which the arteries
empty directly into the veins without the interposition of
capillaries. --Flint. -- De*riv"a*tive*ly, adv. --
De*riv"a*tive*ness, n.
De*riv"a*tive, n.
1. That which is derived; anything obtained or deduced from
another.
2. (Gram.) A word formed from another word, by a prefix or
suffix, an internal modification, or some other change; a
word which takes its origin from a root.
3. (Mus.) A chord, not fundamental, but obtained from another
by inversion; or, vice versa, a ground tone or root
implied in its harmonics in an actual chord.
4. (Med.) An agent which is adapted to produce a derivation
(in the medical sense).
5. (Math.) A derived function; a function obtained from a
given function by a certain algebraic process.
Note: Except in the mode of derivation the derivative is the
same as the differential coefficient. See {Differential
coefficient}, under Differential.
6. (Chem.) A substance so related to another substance by
modification or partial substitution as to be regarded as
derived from it; thus, the amido compounds are derivatives
of ammonia, and the hydrocarbons are derivatives of
methane, benzene, etc.
Synonyms: derivative instrument, derived, derived function, differential, differential coefficient, first derivative
See Also: calculation, computation, curvature, figuring, futures contract, instrument, legal document, legal instrument, official document, option, reckoning, word
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