Derivative

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.

Adjective

derivative

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

Noun

derivative (plural: derivatives)

1. Something derived.
2. A word that derives from another one.
3. A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
4. Template:Chemistry A chemical derived from another.
5. Template:Calculus The derived function of a function.

   The derivative of <math>f(x) = x^2</math> is <math>f'(x) = 2x</math>

6. 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

• 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]

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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