derivative

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Derivative

Pronunciation

• (UK) IPA ^(key): /dɪˈrɪvətɪv/

• Audio (US)

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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

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 ${\displaystyle f(x)}$)

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

3. (calculus) The value of this function for a given value of its independent variable.

   The derivative of ${\displaystyle f(x)=x^{2}}$ at ${\displaystyle x}$ = 3 is ${\displaystyle f'(3)=2*3=6}$.

Related words

• derive