Difference between revisions of "Derivative"
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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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| + | ---- | ||
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[[Category: General Reference]] | [[Category: General Reference]] | ||
[[Category: Secondary Corpus]] | [[Category: Secondary Corpus]] | ||
[[Category: Derivative]] | [[Category: Derivative]] | ||
Revision as of 12:47, 16 August 2007
Those works written about elements in the Primary Corpus.
In English, derivative primarily refers to anything derived from a source - not primitive or original.
Adjective
derivative
- 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
Noun
derivative (plural: derivatives)
- Something 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.
- Template:Chemistry A chemical derived from another.
- Template:Calculus The derived function of a function.
- The derivative of <math>f(x) = x^2</math> is <math>f'(x) = 2x</math>
- Template: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>.
Synonyms
- (in analysis: function): derived function
- spinoff
Antonyms
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]
The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration.
