different between derivative vs differentiable

English

Etymology

From Middle French dérivatif, from Latin d?r?v?tus, perfect passive participle of d?r?v? (“I derive”). Related with derive.

Pronunciation

• (UK) IPA^(key): /d????v?t?v/

Adjective

derivative (comparative more derivative, superlative most derivative)

1. Obtained by derivation; not radical, original, or fundamental.

2. Imitative of the work of someone else.
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.
5. Lacking originality.

Translations

Noun

derivative (plural derivatives)

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

   Synonyms: reflex, descendant

   Antonym: etymon

   Coordinate term: 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.
5. (calculus) The derived function of a function (the slope at a certain point on some curve ${\displaystyle f(x)}$)

   The derivative of ${\displaystyle f:f(x)=x^{2}}$ is ${\displaystyle f':f'(x)=2x}$

6. (calculus) The value of this function for a given value of its independent variable.

   The derivative of ${\displaystyle f(x)=x^{2}}$ at x = 3 is ${\displaystyle f'(3)=2*3=6}$.

Synonyms

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

Antonyms

• coincidental

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

Translations

German

Pronunciation

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

d?r?v?t?ve

1. vocative masculine singular of d?r?v?t?vus

English

Etymology

From differentiate +? -able

Pronunciation

• (UK) IPA^(key): /?d?f.?(?)??n.??.b?l/

Adjective

differentiable (comparative more differentiable, superlative most differentiable)

1. (calculus, not comparable) Having a derivative, said of a function whose domain and codomain are manifolds.
2. (comparable, of multiple items) able to be differentiated, e.g. because they appear different

Related terms

• differentiability

Translations

Danish

Adjective

differentiable

1. plural and definite singular attributive of differentiabel