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Using English Wiktionary XML Dump dated Feb 4th 2009
Using WordNet 3.0
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derivative
  • (adjective)
    1. Imitative of the work of someone else.
    2. 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)
    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. A chemical derived from another.
    5. The derived function of a function.
      The derivative of f:f(x) = x^2 is f':f'(x) = 2x
    6. The value of this function for a given value of its independent variable.
      The derivative of f(x) = x^2 at x = 3 is f'(3) = 2*3 = 6.