DERIVE

late 14c., “descend from”

from Old French deriver “to flow, pour out, originate”

from Latin derivare “to lead or draw off (a stream of water) from its source”.

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DERIVATIVE in mathematics

Rate of change of a function with respect to a variable.

Way to show instantaneous rate of change.

[...] function that can be used to predict the behaviour of the original system under diverse conditions.

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DERIVATION in linguistics

The change of a word's meaning by adding/subtracting to it.

ONLINE ETYMOLOGY DICTIONARY; britannica: DERIVE, DERIVATIVE, DERIVATION (2020)

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