In a manner that has been derived or obtained from a source; in a way that comes from something else.
From 'derived' (past participle of 'derive' from Latin derivare) plus '-ly'. This is similar to 'derivatively' but emphasizes the action of deriving rather than the quality of being derivative.
While 'derivatively' feels abstract and critical, 'derivedly' is practical—it's how scientists describe results derived from experiments, or how we trace where our knowledge actually came from in real time.
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