Meaning of implicit differentiation

implic'it differentia'tion

Pronunciation: [key]
— Math. Math.
  1. a method of finding the derivative of an implicit function by taking the derivative of each term with respect to the independent variable while keeping the derivative of the dependent variable with respect to the independent variable in symbolic form and then solving for that derivative.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.