Derivative
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.