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| Those works written about elements in the [[Primary Corpus]]. | | Those works written about elements in the [[Primary Corpus]]. |
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| + | In English, '''derivative''' primarily refers to anything derived from a [[source]] - not [[primitive]] or [[original]]. |
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| + | ===Adjective=== |
| + | '''derivative''' |
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| + | #[[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 |
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| + | ===Noun=== |
| + | '''derivative''' (''plural:'' '''derivatives''') |
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| + | #Something [[derive|derived]]. |
| + | #A word that derives from another one. |
| + | #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>.'' |
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| + | ====Synonyms==== |
| + | *(''in analysis: function''): [[derived function]] |
| + | *[[spinoff]] |
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| + | ====Antonyms==== |
| + | *[[coincidental]] |
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| + | In calculus, a branch of mathematics, the derivative is a measurement of how a function changes when the values of its inputs change. The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. In higher dimensions, the derivative of a function at a point is a linear transformation called the linearization.[1] |
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| + | The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration. |
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| [[Category: General Reference]] | | [[Category: General Reference]] |
| [[Category: Secondary Corpus]] | | [[Category: Secondary Corpus]] |
| [[Category: Derivative]] | | [[Category: Derivative]] |