The word 'gerund' is going out of favour, with '
-ing verb form' now preferred; the result, however, is the same: a gerund is an
-ing verb form used as a noun.
In your initial sentence,
communicating effectively and
anticipating customer needs are nonfinite clauses acting as
nouns (in this case, the sentence's compound subject): this makes their heads, the
-ing verb forms, gerunds-- so the gerunds are
communicating and
anticipating.
Communicating effectively and
anticipating customer needs are
gerundival clauses, or just '
-ing clauses'.