calculate vs derive

calculate

verb
  • To determine values or solutions by a mathematical process; reckon. 

  • To plan; to expect; to think. 

  • To adjust for purpose; to adapt by forethought or calculation; to fit or prepare by the adaptation of means to an end. 

  • To ascertain or predict by mathematical or astrological computations the time, circumstances, or other conditions of; to forecast or compute the character or consequences of. 

  • To determine the value of something or the solution to something by a mathematical process. 

  • To imagine sequences of potential moves and responses without actually moving the pieces. 

derive

verb
  • To deduce (a conclusion) by reasoning. 

  • To originate or stem (from). 

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

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

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

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

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