derivate vs vicarious

derivate

adj
  • Derived; derivative. 

noun
  • Something derived; a derivative. 

vicarious

adj
  • Delegated. 

  • Experienced or gained by taking in another person’s experience, rather than through first-hand experience, such as through watching or reading. 

  • On behalf of others. 

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