derive vs emerge

derive

verb
  • To obtain or receive (something) from something else. 

  • To deduce (a conclusion) by reasoning. 

  • To originate or stem (from). 

  • To create (a compound) from another by means of a reaction. 

  • To find the derivation of (a word or phrase). 

  • To turn the course of (water, etc.); to divert and distribute into subordinate channels. 

emerge

verb
  • To come out of a situation, object or a liquid. 

  • To become known. 

  • To come into view. 

How often have the words derive and emerge occurred in a corpus of books? (source: Google Ngram Viewer )