derivative

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Pronunciation

• (UK) IPA ^(key): /dɪˈrɪvətɪv/

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Adjective

Positive derivative

Comparative none

Superlative none

1. If something is derivative, it is obtained from something else.

Noun

Singular derivative

Plural derivatives

A function (black) and a tangent (red). The derivative at the point is the slope of the tangent.

1. (countable) A derivative is something which is based on another.
2. (calculus) A derivative is the derived function of another function (the slope at a certain point on some curve $f(x)$)

   The derivative of $f:f(x)=x^{2}$ is $f':f'(x)=2x$.

3. (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 $f'(3)=2*3=6$.

Related words

• derive