derivative

Short definition from Wiktionary

Adjective

1. 1
   Obtained by derivation; not radical, original, or fundamental.
2. 2
   Imitative of the work of someone else.
3. 3
   Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
4. 4
   Having a value that depends on an underlying asset of variable value.

Noun

1. 1
   Something derived.
2. 2
   A word formed by derivation, such as stylish from style.
3. 3
   A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
4. 4
   A chemical derived from another.
5. 5
   One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function: The derived function of f(x): the function giving the instantaneous rate of change of f; equivalently, the function giving the slope of the line tangent to the graph of f. Written f'(x) or (df)/(dx)
6. 6
   One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function: The value of such a derived function for a given value of its independent variable: the rate of change of a function at a point in its domain.
7. 7
   One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function: Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.
8. 8
   One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function: The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.