1. Obtained or produced from something else:
* "The data was derived from a large survey." This means the data was obtained or produced from analyzing the results of the survey.
* "The new drug is derived from a plant extract." This means the drug was created using components extracted from a plant.
2. Deduced or inferred from something else:
* "We derived this conclusion from the evidence presented." This means the conclusion was reached by reasoning based on the available evidence.
* "Her sense of humor is derived from her upbringing." This means her sense of humor was shaped or influenced by her upbringing.
3. In mathematics, a derived function is a function that represents the rate of change of another function.
* "The derivative of the function f(x) = x^2 is f'(x) = 2x." This means the derivative of the function x squared is 2x, which represents the rate at which the function changes at any given point.
4. In grammar, a derived word is a word formed from another word by adding a prefix, suffix, or both.
* "The word 'unhappy' is derived from the word 'happy'." This means the word "unhappy" is formed by adding the prefix "un-" to the word "happy."
5. In genealogy, a derived line is a line of descent that is not directly from the original ancestor but is related through a descendant.
* "The Williams family is a derived line from the original Smith family." This means the Williams family is related to the Smith family but not through a direct ancestor of the Smiths.
The specific meaning of "derived" will depend on the context in which it is used.