Derivative Definition
Contents
English
Wikipedia has articles on: Derivative (disambiguation) and DerivativeEtymology
Middle English, from French dérivatif and Latin derivatus; see derive.
Pronunciation
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Audio (US) (file)
Adjective
derivative (comparative more derivative, superlative most derivative)
- Imitative of the work of someone else.
- (law, copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
- (finance) Having a value that depends on an underlying asset of variable value.
- Lacking originality.
Noun
derivative (plural derivatives)
- Something derived.
- (linguistics) A word that derives from another one.
- (finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
- (chemistry) A chemical derived from another.
- (calculus) The derived function of a function.
- The derivative of f:f(x) = x2 is f':f'(x) = 2x
- (calculus) The value of this function for a given value of its independent variable.
- The derivative of f(x) = x2 at x = 3 is f'(3) = 2 * 3 = 6.
Synonyms
- (something derived): spinoff
- (finance): contingent claim
- (in analysis: function): derived function
Derived terms
- arithmetic derivative
- directional derivative
- exterior derivative
- Gâteaux derivative
- partial derivative
- symmetric derivative
- time derivative
- total derivative
- weak derivative
Antonyms
Hyponyms
- (finance): option, warrant, swap, convertible security, convertible, convertible bond, credit default swap, credit line note, financial futures contract, financial future, total return swap.
Italian
Adjective
derivative f.
- Feminine plural form of derivativo
Latin
Adjective
dērīvātīve
- vocative masculine singular of dērīvātīvus
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In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's instantaneous velocity.
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