Definition of derivative

English Dictionary - With Multi-Lingual Search

derivative
noun (plural: derivatives)

Something derive, derived.
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 <math>f(x) = x^2</math> is <math>f'(x) = 2x</math>
(calculus) The value of this function for a given value of its independent variable.
The derivative of <math>f(x) = x^2</math> at x = 3 is <math>f'(3) = 2
- 3 = 6</math>.

Imitative of the work of someone else
(copyright law) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions
Having a value that depends on an underlying asset of variable value
Lacking originality

Etymology: Middle English, from dérivatif and derivatus; see derive.

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