Derivative (Noun)
Meaning 1
A financial instrument whose value is based on another security.
Classification
Nouns denoting communicative processes and contents.
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Meaning 2
(linguistics) a word that is derived from another word; "`electricity' is a derivative of `electric'".
Classification
Nouns denoting communicative processes and contents.
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Meaning 3
The result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The derivative of the function f(x) = x^2 is f'(x) = 2x.
- In calculus, the derivative of a function represents the rate of change of the output with respect to one of its inputs.
- The derivative of the position function gives the velocity function, which describes the rate of change of an object's position over time.
- To find the maximum or minimum of a function, we need to find the critical points by setting the derivative equal to zero.
- The derivative of the cost function with respect to the number of units produced gives the marginal cost, which is the rate of change of the total cost.
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Meaning 4
A compound obtained from, or regarded as derived from, another compound.
Classification
Nouns denoting substances.