Synonyms for Derive (same or very similar meaning)
WordNet sense 1 (come from; be connected by a relationship of blood, for example):
come, descend
WordNet sense 2 (obtain):
gain
WordNet sense 3 (reason by deduction; establish by deduction):
deduce, deduct, infer
WordNet sense 4 (develop or evolve from a latent or potential state):
educe
From the ODE community, based on WordNet
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