To transmit.

transferred and figurative. To convey from one (treated as a source) to another, as by transmission, descent, etc.; to transmit, impart…

figurative. To convey or communicate (usually something immaterial) to another or others; to pass on, esp. by inheritance or heredity; to hand down.

= derive, v.

transitive. To pass on (esp. knowledge, a tradition, property, or an item of clothing) to a later generation or age. Cf. to hand on at phrasal verbs…

transitive. To pass (something) on, esp. to the next in a series or succession, or to a later generation or age. Cf. to hand down 1 at phrasal verbs.

transitive. To send or hand to the next member of a series; to relay (a rumour, piece of information, etc.).