derivative

See also: dérivative

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^(key): /dɪˈɹɪvətɪv/

• Audio (US):

  (file)

Adjective

derivative (comparative more derivative, superlative most derivative)

1. 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^[1], →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.

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.

3. (law, copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
4. (finance) Having a value that depends on an underlying asset of variable value.

Derived terms

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

 

Translations

obtained by derivation

• Bulgarian: произво́ден (bg) (proizvóden)
• Chinese:

  Mandarin: 派生的 (zh) (páishēng de), 衍生的 (zh) (yánshēng de)

• Danish: afledt
• Finnish: johdettu (fi)
• French: dérivé (fr) m
• German: nachahmend (de), kopierend (de)
• Greek:

  Ancient: παρώνυμος (parṓnumos)

• Hungarian: származtatott (hu), (in linguistics) képzett (hu)
• Maori: mino
• Polish: pochodny (pl), wtórny (pl)
• Portuguese: derivativo
• Russian: произво́дный (ru) (proizvódnyj)
• Spanish: please add this translation if you can

imitative of the work of someone else

• Chinese:

  Mandarin: please add this translation if you can

• Danish: imiterende
• Finnish: mukaileva, mukailtu
• Maori: tāwhaiwhai
• Spanish: please add this translation if you can

(copyright) referring to a work based on another work

• Chinese:

  Mandarin: please add this translation if you can

• Danish: afledt
• Finnish: muunneltu (fi)
• French: dérivé (fr)
• Spanish: please add this translation if you can

(finance) having a value that depends on an underlying asset

• Chinese:

  Mandarin: please add this translation if you can

• Finnish: johdannainen (fi)
• French: dérivé (fr) m
• Hungarian: másodlagos (hu)
• Spanish: please add this translation if you can

lacking originality

• Chinese:

  Mandarin: please add this translation if you can

• Danish: uoriginal
• Finnish: tavanomainen (fi)
• Spanish: please add this translation if you can

Noun

derivative (plural derivatives)

1. Something derived.
2. (linguistics) A word that derives from another one.

   Synonyms: descendant, formative, reflex

   Antonyms: ancestor, etymon, root

   Hyponym: cognate

3. (finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
4. (chemistry) A chemical derived from another.
6. (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.
   1. (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 $f'(x)=2x$

   2. 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 $12$.

   3. (Of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
   4. (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

something derived

• Armenian: ածանցյալ (hy) (acancʻyal)
• Bulgarian: произво́дно (bg) n (proizvódno)
• Chinese:

  Mandarin: 衍生物 (zh) (yánshēngwù)

• Czech: derivát m, odvozenina f
• Danish: afledning c
• Dutch: afgeleide (nl) f, derivaat (nl) n
• Esperanto: derivaĵo (eo)
• Estonian: tuletis
• Finnish: johdannainen (fi), johdos (fi), derivaatti
• French: dérivé (fr) m
• German: Ableitung (de) f
• Hungarian: származék (hu)
• Indonesian: turunan (id)
• Italian: derivato (it) m, derivata (it) f
• Japanese: 派生 (ja) (はせい, hasei)
• Polish: pochodny (pl), wtórny (pl)
• Portuguese: derivado (pt) m
• Romanian: derivat (ro) m, derivată (ro) f
• Russian: произво́дное (ru) n (proizvódnoje)
• Spanish: derivado (es) m
• Turkish: türev (tr)

word that derives from another

• Azerbaijani: törəmə, derivativ
• Breton: deverad f
• Chinese:

  Mandarin: 派生詞 / 派生词 (zh) (páishēngcí)

• Czech: odvozenina f
• Danish: please add this translation if you can
• Dutch: afleiding (nl) f
• Esperanto: derivaĵo (eo)
• Estonian: tuletis
• Finnish: johdos (fi)
• French: dérivé (fr) m
• German: Ableitung (de) f, Derivation (de) f, Derivat (de) n, Derivatum (de) n, Derivativ, Derivativum
• Greek: παράγωγο (el) n (parágogo)
• Hungarian: származékszó (hu)
• Italian: derivato (it) m, derivata (it) f
• Japanese: 派生語 (ja) (はせいご, haseigo)
• Korean: 파생어 (ko) (pasaeng'eo)
• Maori: takenga
• Norwegian:

  Bokmål: avledning m or f

• Polish: derywat (pl) m inan
• Portuguese: derivado (pt) m
• Romanian: derivat (ro) n
• Russian: дерива́т (ru) m (derivát), произво́дное сло́во n (proizvódnoje slóvo)
• Spanish: derivado (es) m
• Swedish: avledning (sv) c
• Thai: ลูกคำ (th) (lûuk-kam)
• Turkish: türev (tr)
• Volapük: defomot (vo)
• Welsh: tarddair (cy) m

financial instrument whose value depends on the valuation of an underlying instrument

• Armenian: ածանցյալ (hy) (acancʻyal)
• Chinese:

  Mandarin: 衍生品 (yánshēngpǐn), 衍生產品 / 衍生产品 (zh) (yǎnshēng chǎnpǐn), 衍生工具 (yǎnshēng gōngjù)

• Czech: derivát m
• Finnish: johdannainen (fi)
• German: Derivat (de) n
• Hungarian: derivatíva
• Japanese: デリバティブ (ja) (deribatibu)
• Polish: instrument pochodny m inan, derywat (pl) m inan
• Russian: деривати́в (ru) m (derivatív)
• Spanish: derivado (es) m

chemical derived from another

• Armenian: ածանցյալ (hy) (acancʻyal)
• Bulgarian: производно (bg) (proizvodno)
• Chinese:

  Mandarin: 衍生物 (zh) (yánshēngwù)

• Danish: derivat n
• Finnish: johdos (fi), johdannainen (fi)
• German: Abkömmling (de) m, Derivat (de) n
• Hungarian: származék (hu)
• Italian: derivato (it) m, derivata (it) f
• Japanese: 誘導体 (ゆうどうたい, yūdotai)
• Persian: اشتقاقی (fa) (ešteqâqi)
• Polish: pochodna (pl) f
• Portuguese: derivado (pt) m, derivativo m
• Romanian: derivat (ro) n
• Russian: произво́дное (ru) n (proizvódnoje), дерива́т (ru) m (derivát)
• Spanish: derivado (es) m
• Swedish: derivat (sv) n
• Turkish: türev (tr)

in analysis: function — see derived function

in analysis: value

• Armenian: ածանցյալ (hy) (acancʻyal)
• Bulgarian: произво́дна (bg) f (proizvódna)
• Chinese:

  Cantonese: 導數 / 导数 (dou⁶ sou³)

  Mandarin: 導數 / 导数 (zh) (dǎoshù)

• Czech: derivace (cs) f
• Danish: differentialkvotient c
• Estonian: tuletis
• Finnish: derivaatta (fi)
• French: dérivée (fr) f
• German: Ableitung (de) f
• Hebrew: נגזרת (he) f (nigzéret)
• Hungarian: derivált (hu)
• Italian: derivata (it) f
• Maori: pārōnaki
• Polish: pochodna (pl) f
• Portuguese: derivada (pt) f
• Russian: произво́дная (ru) f (proizvódnaja)
• Slovene: odvod m
• Spanish: derivada (es) f
• Swedish: derivata (sv) c
• Tagalog: hango
• Turkish: türev (tr)

German

Pronunciation

• Audio:

  (file)

Adjective

derivative

1. inflection of derivativ:
   1. strong/mixed nominative/accusative feminine singular
   2. strong nominative/accusative plural
   3. weak nominative all-gender singular
   4. weak accusative feminine/neuter singular

Italian

Adjective

derivative

1. feminine plural of derivativo

Latin

Adjective

dērīvātīve

1. vocative masculine singular of dērīvātīvus