derivative

See also: dérivative

English

English Wikipedia has articles on:

Derivative (disambiguation) and Derivative

Wikipedia Wikipedia

Etymology

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

Pronunciation

• (Western) IPA^(key): /dɪˈɹɪvətɪv/

  • Audio (US):

    (file)

• (Indic)
  • IPA^(key): /ɖĕ.ɾɪv.eʈ.ɪv/ (with laxing from derive)
  • IPA^(key): /ɖĕ.ɾaj.veʈ.ɪv/ (without laxing)

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, →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 hybrid
• derivative instrument
• derivatively
• derivativeness
• derivative work
• derivativity
• derivatography
• Fréchet derivative
• 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

Bulgarian: please add this translation if you can 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

Bulgarian: please add this translation if you can Chinese: Mandarin: please add this translation if you can Danish: afledt Finnish: jälkiperäinen (fi), muunneltu (fi) French: dérivé (fr) Spanish: please add this translation if you can

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

Bulgarian: (please verify) дериватен (derivaten) 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

Bulgarian: please add this translation if you can 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 ${\displaystyle f(x)}$) The derived function of ${\displaystyle f(x)}$: the function giving the instantaneous rate of change of ${\displaystyle f}$; equivalently, the function giving the slope of the line tangent to the graph of ${\displaystyle f}$. Written ${\displaystyle f'(x)}$ or ${\displaystyle {\frac {df}{dx}}}$ in Leibniz's notation, ${\displaystyle {\dot {f}}(x)}$ in Newton's notation (the latter used particularly when the independent variable is time).

      The derivative of ${\displaystyle x^{2}}$ is ${\displaystyle 2x}$; if ${\displaystyle f(x)=x^{2}}$, then ${\displaystyle f'(x)=2x}$

   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 ${\displaystyle f(x)=x^{3}}$ at ${\displaystyle x=2}$ is ${\displaystyle 12}$.

   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 ${\displaystyle D}$; 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
• derivative 22 syndrome
• derivatography
• directional derivative
• event derivative
• exterior derivative
• first 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
• third derivative
• time derivative
• total derivative
• weak derivative

Translations

something derived

Albanian: derivat m 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 Bulgarian: дериват m (derivat) 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 Swahili: kinyambuo 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) Bulgarian: дерива m (deriva) 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), дериват m (derivat) 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: derivative function

Asturian: derivada f Catalan: derivada (ca) f French: dérivée (fr) f Galician: derivada f Italian: derivata (it) f Portuguese: derivada (pt) f Spanish: derivada (es) f

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