derivative
See also: dérivative
English edit
Etymology edit
From Middle French dérivatif, from Latin dērīvātus, perfect passive participle of dērīvō (“I derive”). Related with derive; By surface analysis, derive + -ative.
Pronunciation edit
Adjective edit
derivative (comparative more derivative, superlative most derivative)
- Obtained by derivation; not radical, original, or fundamental.
- a derivative conveyance
- a derivative word
- Imitative of the work of someone else.
- 1979, Woody Allen, Manhattan, spoken by Mary (Diane Keaton):
- No, I really felt it was very derivative. To me it it looked like it was straight out of Diane Arbus, but it had none of the wit.
- (law, copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
- (finance) Having a value that depends on an underlying asset of variable value.
Derived terms edit
Translations edit
obtained by derivation
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imitative of the work of someone else
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(copyright) referring to a work based on another work
(finance) having a value that depends on an underlying asset
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lacking originality
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Noun edit
derivative (plural derivatives)
- Something derived.
- (linguistics) A word that derives from another one.
- Synonyms: reflex, descendant
- Antonym: etymon
- Coordinate term: cognate
- (finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
- (chemistry) A chemical derived from another.
- (calculus) One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function.
- (Of a function of a single variable ) The derived function of : the function giving the instantaneous rate of change of ; equivalently, the function giving the slope of the line tangent to the graph of . Written or in Leibniz's notation, in Newton's notation (the latter used particularly when the independent variable is time).
- The derivative of is ; if , then
- The value of such a derived function for a given value of its independent variable: the rate of change of a function at a point in its domain.
- The derivative of at is .
- (Of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
- (generally) The linear operator that maps functions to their derived functions, usually written ; the simplest differential operator.
- (Of a function of a single variable ) The derived function of : the function giving the instantaneous rate of change of ; equivalently, the function giving the slope of the line tangent to the graph of . Written or in Leibniz's notation, in Newton's notation (the latter used particularly when the independent variable is time).
Synonyms edit
- (something derived): derivate, offshoot, spinoff
- (linguistics): derivate, derived word
- (finance): contingent claim
- (in analysis: function): derived function
Antonyms edit
- coincidental
- (calculus): antiderivative, integral
Hyponyms edit
- (finance): option, warrant, swap, convertible security, convertible, convertible bond, credit default swap, credit line note, financial futures contract, financial future, total return swap.
Derived terms edit
- arithmetic derivative
- Boolean derivative
- Brzozowski derivative
- directional derivative
- event derivative
- exterior derivative
- Gâteaux derivative
- Jackson derivative
- logarithmic derivative
- partial derivative
- q-derivative
- quasi-derivative
- Schwarzian derivative
- second derivative
- shareholders' derivative action
- symmetric derivative
- time derivative
- total derivative
- weak derivative
Translations edit
something derived
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word that derives from another
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financial instrument whose value depends on the valuation of an underlying instrument
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chemical derived from another
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in analysis: function — see derived function
in analysis: value
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German edit
Pronunciation edit
Audio (file)
Adjective edit
derivative
- inflection of derivativ:
Italian edit
Adjective edit
derivative
Latin edit
Adjective edit
dērīvātīve