The
derivative of a function is the rate of change of the function's output relative to its input value.
Derivative may also refer to:
In mathematics and economics
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Brzozowski derivative
In theoretical computer science, in particular in formal language theory, the Brzozowski derivative u^S of a set S of strings and a string u is the set of all strings obtainable from a string in S by cutting off the prefix u, as illustrated in th ...
in the theory of formal languages
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Formal derivative
In mathematics, the formal derivative is an operation on elements of a polynomial ring or a ring of formal power series that mimics the form of the derivative from calculus. Though they appear similar, the algebraic advantage of a formal derivati ...
, an operation on elements of a polynomial ring which mimics the form of the derivative from calculus
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Radon–Nikodym derivative in measure theory
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Derivative (set theory), a concept applicable to normal functions
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Derivative (graph theory), an alternative term for a line graph deva
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Derivative (finance)
In finance, a derivative is a contract that ''derives'' its value from the performance of an underlying entity. This underlying entity can be an asset, index, or interest rate, and is often simply called the "underlying". Derivatives can be u ...
, a contract whose value is derived from that of other quantities
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Derivative suit or derivative action, a type of lawsuit filed by shareholders of a corporation
In science and engineering
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Derivative (chemistry)
In chemistry, a derivative is a compound that is derived from a similar compound by a chemical reaction.
In the past, derivative also meant a compound that ''can be imagined to'' arise from another compound, if one atom or group of atoms is repla ...
, a type of compound which is a product of the process of derivatization
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Derivative (linguistics)
Morphological derivation, in linguistics, is the process of forming a new word from an existing word, often by adding a prefix or suffix, such as For example, ''unhappy'' and ''happiness'' derive from the root word ''happy.''
It is different ...
, the process of forming a new word on the basis of an existing word, e.g. happiness and unhappy from happy
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Aeroderivative gas turbine
A gas turbine, also called a combustion turbine, is a type of continuous flow internal combustion engine. The main parts common to all gas turbine engines form the power-producing part (known as the gas generator or core) and are, in the directi ...
, a mechanical drive gas turbine derived from an aero engine gas turbine
Other uses
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Derivative work
In copyright law, a derivative work is an expressive creation that includes major copyrightable elements of an original, previously created first work (the underlying work). The derivative work becomes a second, separate work independent in fo ...
, in copyright law, a modification of an original work
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Fork (software development)
In software engineering, a project fork happens when developers take a copy of source code from one software package and start independent development on it, creating a distinct and separate piece of software. The term often implies not merely ...
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''Derivative'' (film), a 2005 Turkish film
*Derivative Inc., a spin-off of Side Effects Software, creators of the software
Houdini
See also
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Derive (disambiguation), for meanings of "derive" and "derived"
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Derivation (disambiguation)
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Imitation
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Interpretation (disambiguation)
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Mimicry
In evolutionary biology, mimicry is an evolved resemblance between an organism and another object, often an organism of another species. Mimicry may evolve between different species, or between individuals of the same species. Often, mimicry f ...
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{{disambiguation