# derivative

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See also: dérivative

## English

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### Etymology

From Middle French dérivatif, from Latin derivatus; see derive.

### 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
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.

### Noun

derivative (plural derivatives)

1. Something derived.
2. (linguistics) A word that derives from another one.
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 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 ${\displaystyle f'(3)=2*3=6}$.

## German

### Adjective

derivative

1. inflected form of derivativ

derivative

dērīvātīve