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derivative In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. ...
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

* Brzozowski derivative in the theory of formal languages * Formal derivative, an operation on elements of a polynomial ring which mimics the form of the derivative from calculus * Radon–Nikodym derivative in measure theory *
Derivative (set theory) In axiomatic set theory, a function ''f'' : Ord → Ord is called normal (or a normal function) if and only if it is continuous (with respect to the order topology) and strictly monotonically increasing. This is equivalent to the following two ...
, a concept applicable to normal functions * Derivative (graph theory), an alternative term for a line graph deva * Derivative (finance), a contract whose value is derived from that of other quantities *
Derivative suit A shareholder derivative suit is a lawsuit brought by a shareholder on behalf of a corporation against a third party. Often, the third party is an insider of the corporation, such as an executive officer or director. Shareholder derivative suits are ...
or derivative action, a type of lawsuit filed by shareholders of a corporation


In science and engineering

* Derivative (chemistry), a type of compound which is a product of the process of derivatization * Derivative (linguistics), the process of forming a new word on the basis of an existing word, e.g. happiness and unhappy from happy * Aeroderivative gas turbine, a mechanical drive gas turbine derived from an aero engine gas turbine


Other uses

* Derivative work, in copyright law, a modification of an original work ** Fork (software development) * ''Derivative'' (film), a 2005 Turkish film *Derivative Inc., a spin-off of Side Effects Software, creators of the software
Houdini Harry Houdini (, born Erik Weisz; March 24, 1874 – October 31, 1926) was a Hungarian-American escape artist, magic man, and stunt performer, noted for his escape acts. His pseudonym is a reference to his spiritual master, French magician R ...


See also

* Derive (disambiguation), for meanings of "derive" and "derived" * Derivation (disambiguation) *
Imitation Imitation (from Latin ''imitatio'', "a copying, imitation") is a behavior whereby an individual observes and replicates another's behavior. Imitation is also a form of that leads to the "development of traditions, and ultimately our culture. ...
*
Interpretation (disambiguation) Interpretation may refer to: Culture * Aesthetic interpretation, an explanation of the meaning of a work of art * Allegorical interpretation, an approach that assumes a text should not be interpreted literally * Dramatic Interpretation, an event ...
* Mimicry * {{disambiguation