# derivative
## English
### Etymology

From Middle French dérivatif, from Latin dērīvātus, perfect passive participle of dērīvō (“to derive”). Related to derive; by surface analysis, derive +‎ -ative.

### Pronunciation

* (UK) IPA: /dɪˈɹɪvətɪv/
* Audio (US):(file)

### Adjective

derivative (comparative more derivative, superlative most derivative)
* Obtained by derivation; not radical, original, or fundamental.
    a derivative conveyance
    a derivative word
** 2021 April 27, Amanda Hess, “Inject the Vaccine Fan Fiction Directly Into My Veins”, in The New York Times‎, →ISSN:People started talking about the pandemic as if it were itself a television show; as the second wave hit last fall, they griped about the derivative writing on Covid Season 2.
* 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

* derivative instrument
* derivatively
* derivativeness
* derivative work
* derivativity
* derivatography
* Fréchet derivative
* inderivative
* inderivatively
* multiderivative
* nonderivative
* underivative

#### Translations
### Noun

derivative (plural derivatives)
* Something derived.
* (linguistics) A word that derives from another one.
    Synonyms: descendant, formative, reflex
    Antonyms: ancestor, etymon, root
    Hyponym: 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 $f(x)$) The derived function of $f(x)$: the function giving the instantaneous rate of change of $f$; equivalently, the function giving the slope of the line tangent to the graph of $f$. Written $f'(x)$ or ${\frac {df}{dx}}$ in Leibniz's notation, ${\dot {f}}(x)$ in Newton's notation (the latter used particularly when the independent variable is time).
    The derivative of $x^{2}$ is $2x$; if $f(x)=x^{2}$, then $f'(x)=2x$
** 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 $f(x)=x^{3}$ at $x=2$ is $12$.
** (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 $D$; the simplest differential operator.

#### Synonyms

* (something derived): derivate, offshoot, spinoff
* (linguistics): derivate, derived word
* (finance): contingent claim
* (in analysis: function): derived function

#### Antonyms

* coincidental
* (antonym(s) of “calculus”): antiderivative, integral

#### Hyponyms

* (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

* aeroderivative
* arithmetic derivative
* Boolean derivative
* Brzozowski derivative
* coderivative
* derivatography
* directional derivative
* event derivative
* exterior derivative
* fluoroderivative
* Gâteaux derivative
* haemoderivative
* hemoderivative
* hydroderivative
* hydroxyderivative
* iododerivative
* isoderivative
* Jackson derivative
* leucoderivative
* logarithmic derivative
* monoderivative
* multiderivative
* nitroderivative
* oxyderivative
* partial derivative
* photoderivative
* polyderivative
* q-derivative
* quasi-derivative
* Schwarzian derivative
* second derivative
* shareholders' derivative action
* subderivative
* superderivative
* symmetric derivative
* time derivative
* total derivative
* weak derivative

#### Translations
## German
### Pronunciation

* Audio:(file)

### Adjective

derivative
* inflection of derivativ:
** strong/mixed nominative/accusative feminine singular
** strong nominative/accusative plural
** weak nominative all-gender singular
** weak accusative feminine/neuter singular

## Italian
### Adjective

derivative
* feminine plural of derivativo

## Latin
### Adjective

dērīvātīve
* vocative masculine singular of dērīvātīvus