* Derived means something is obtained or deduced from something else. For example:
* "The derived formula was based on the original equation."
* "The scientists derived a new theory from their experiments."
* Translated means something is converted from one language or form to another. For example:
* "The book was translated from Spanish to English."
* "The software was translated for use in multiple countries."
Here's a way to think about it:
* Derived is about logic and deduction. You're taking existing information and using it to create something new.
* Translated is about converting information. You're taking something in one form and changing it into another form.
Examples:
* A derived word is a word that comes from another word (e.g., "unhappy" is derived from "happy").
* A translated document is a document that has been converted from one language to another.
In summary: Derived and translated are distinct concepts that describe different processes.