deduce, infer, deduct, derive -- (reason by deduction; establish by deduction)
derive, gain -- (obtain; "derive pleasure from one's garden")
derive -- (come from; "The present name derives from an older form")
derive, educe -- (develop or evolve from a latent or potential state)
derive, come, descend -- (come from; be connected by a relationship of blood, for example; "She was descended from an old Italian noble family"; "he comes from humble origins")