# derivative

## EnglishEdit

Wikipedia has articles on:

### EtymologyEdit

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

### PronunciationEdit

• (UK) IPA(key): /dɪˈɹɪvətɪv/
•  Audio (US) Sorry, your browser either has JavaScript disabled or does not have any supported player. You can download the clip or download a player to play the clip in your browser. (file)

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.

### NounEdit

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 $f:f(x) = x^2$ is $f':f'(x) = 2x$
6. (calculus) The value of this function for a given value of its independent variable.
The derivative of $f(x) = x^2$ at x = 3 is $f'(3) = 2 * 3 = 6$.

#### Derived termsEdit

• arithmetic derivative
• directional derivative
• exterior derivative
• Gâteaux derivative
• partial derivative
• symmetric derivative
• time derivative
• total derivative
• weak derivative

#### TranslationsEdit

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.