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Derivative vs Differential - What's the difference?

derivative | differential |

As adjectives the difference between derivative and differential

is that derivative is obtained by derivation; not radical, original, or fundamental while differential is of, or relating to a difference.

As nouns the difference between derivative and differential

is that derivative is something derived while differential is the differential gear in an automobile etc.

derivative

English

Adjective

(en adjective)
  • Obtained by derivation; not radical, original, or fundamental.
  • a derivative''' conveyance; a '''derivative word
  • Imitative of the work of someone else.
  • (legal, copyright) Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions.
  • (finance) Having a value that depends on an underlying asset of variable value.
  • Lacking originality.
  • Noun

    (en noun)
  • Something derived.
  • (linguistics) A word that derives from another one.
  • (finance) A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
  • (chemistry) A chemical derived from another.
  • (calculus) The derived function of a function.
  • The derivative of f:f(x) = x^2 is f':f'(x) = 2x
  • (calculus) 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.

    Synonyms

    * (something derived) spinoff * (finance) contingent claim * derived function

    Derived terms

    * arithmetic derivative * directional derivative * exterior derivative * * partial derivative * symmetric derivative * time derivative * total derivative * weak derivative

    Antonyms

    * coincidental

    Hyponyms

    * (finance) option, warrant, swap, convertible security, convertible, convertible bond, credit default swap, credit line note, financial futures contract, financial future, total return swap.

    differential

    English

    Adjective

    (en adjective)
  • of, or relating to a difference
  • differential characteristics
  • * Motley
  • For whom he produced differential favours.
  • dependent on, or making a difference; distinctive
  • having differences in speed or direction of motion
  • (mathematics) of, or relating to differentiation, or the differential calculus
  • Noun

    (en noun)
  • the differential gear in an automobile etc
  • a qualitative or quantitative difference between similar or comparable things
  • (mathematics) an infinitesimal change in a variable, or the result of differentiation
  • One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
  • A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
  • (Knight)

    Derived terms

    * differential amplifier * differential analyzer * differential coefficient * differential gear * differential equation * partial differential equation