implicit function

Noun

1. A function defined by a (multivariable) implicit equation when one of the variables is regarded as the value of the function, especially where said equation is such that the value is not directly calculable from the other variables.
   • An important class of implicit functions comprises those defined by equations of the form x-f(y)#61;0. Choosing y as the value means that the implicit function is the inverse of f. This type of implicit function is of...
   • Thus, in the equation, #92;quad#92;quad#92;quaday²#43;bxy#43;cx²#43;d#61;0; y is an implicit function of x. Implicit functions are generally connected with their variables by one or more equations. When these equations...
   • The process of evaluating the derivatives in the case of implicit functions is exemplified below. - 1875, J. Minot Rice, W. Woolsey Johnson, The Elements of the Differential Calculus, Part 2, Washington: Government...