In those two cases, yes you can; but there is a slight difference (to my ear at least). The active "derives" suggests 'that's where it came from', whereas the passive "is derived" suggests that there was a process [and that the process is of interest]. In your first sentence, in fact, I'd prefer "derives". Generally in natural language, I'd talk about "deriving" rather than "being derived" - except in cases where there's an artificial creative effort (such as in a recent string, when I invented a word which was derived from 2 Greek words).
Student or Learner