exude (v.) Look up exude at Dictionary.com
1570s (intransitive), from Latin exudare/exsudare "ooze out like sweat," from ex "out, out of" (see ex-) + sudare "to sweat," from sudor "sweat" (see sweat (v.)). Transitive sense from 1755. Related: Exuded; exudes; exuding.