derivative

Something derived.

A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.

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) in Leibniz's notation, ̇f(x) in Newton's notation (the latter used particularly when the independent variable is time).

Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.

A word formed by derivation, such as stylish from style.

A chemical derived from another.

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.

The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator.

Obtained by derivation; not radical, original, or fundamental.

Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.

Imitative of the work of someone else.

Having a value that depends on an underlying asset of variable value.