The difference between Derivative and Derived function

When used as nouns, derivative means something derived, whereas derived function means of a function, another function, the value of which for any value of the independent variable is the instantaneous rate of change of the given function at that value of the independent variable.

Derivative is also adjective with the meaning: obtained by derivation.

check bellow for the other definitions of Derivative and Derived function

  1. Derivative as an adjective:

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

    Examples:

    "a derivative conveyance; a derivative word"

  2. Derivative as an adjective:

    Imitative of the work of someone else.

  3. Derivative as an adjective (legal, copyright):

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

  4. Derivative as an adjective (finance):

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

  5. Derivative as an adjective:

    Lacking originality.

  1. Derivative as a noun:

    Something derived.

  2. Derivative as a noun (linguistics):

    A word that derives from another one.

  3. Derivative as a noun (finance):

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

  4. Derivative as a noun (chemistry):

    A chemical derived from another.

  5. Derivative as a noun (calculus):

    The derived function of a function (the slope at a certain point on some curve f(x))

    Examples:

    "The derivative of <math>f:f(x) = x^2</math> is <math>f':f'(x) = 2x</math>"

  6. Derivative as a noun (calculus):

    The value of this function for a given value of its independent variable.

    Examples:

    "The derivative of <math>f(x) = x^2</math> at x = 3 is <math>f'(3) = 2 * 3 = 6</math>."

  1. Derived function as a noun (calculus):

    Of a function, another function, the value of which for any value of the independent variable is the instantaneous rate of change of the given function at that value of the independent variable.

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