derivative vs opening

derivative

noun
  • Something derived. 

  • A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc. 

  • A word that derives from another one. 

  • The value of such a derived function for a given value of its independent variable: the rate of change of a function at a point in its domain. 

  • The linear operator that maps functions to their derived functions, usually written D; the simplest differential operator. 

  • Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc. 

  • A chemical derived from another. 

  • The derived function of f(x): the function giving the instantaneous rate of change of f; equivalently, the function giving the slope of the line tangent to the graph of f. Written f'(x) or (df)/(dx) in Leibniz's notation, ̇f(x) in Newton's notation (the latter used particularly when the independent variable is time). 

adj
  • Having a value that depends on an underlying asset of variable value. 

  • Lacking originality. 

  • Imitative of the work of someone else. 

  • Obtained by derivation; not radical, original, or fundamental. 

  • Referring to a work, such as a translation or adaptation, based on another work that may be subject to copyright restrictions. 

opening

noun
  • An act or instance of making or becoming open. 

  • The first few measures of a musical composition. 

  • The first performance of a show or play by a particular troupe. 

  • A gap permitting passage through. 

  • The initial period when a show at an art gallery or museum is first opened, especially the first evening. 

  • A vacant position, especially in an array. 

  • An unoccupied employment position. 

  • In mathematical morphology, the dilation of the erosion of a set. 

  • A time available in a schedule. 

  • An opportunity, as in a competitive activity. 

  • An act or instance of beginning. 

  • The first few moves in a game. 

adj
  • Pertaining to the start or beginning of a series of events. 

  • describing the first period of play, usually up to the fall of the first wicket; describing a batsman who opens the innings or a bowler who opens the attack 

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