exude (v.)

1570s (intransitive), "to ooze from a body by a natural or abnormal discharge, be secreted," as juice or gum from a tree, pus from a wound, or serous fluid from a blister, 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 "to discharge slowly through the pores, give out gradually as moisture" is by 1755. Related: Exuded; exudes; exuding.