derivatives

Noun

derivative (plural derivatives)

1. Something derived.

   Synonyms:

   derivate, offshoot, spinoff

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

   Antonyms:

   root

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 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).
   • The derivative of x² is 2x; if f(x)#61;x², then f'(x)#61;2x
6. 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 derivative of f(x)#61;x³ at x#61;2 is 12.

See all 12 meanings of derivative