Implicit Differentiation

A Description of Implicit functions

    Implicit functions are those which are not directly expressed but are expressed in terms of other functions and independent variables.

    Implicit functions are usually stated as an equation in which one cannot solve for one (or any) function.

    Implicit means
        kind of already know -- Michelle
        implied, not stated -- Luna


    As with other functions, one may "take" a derivative of each side of the equation.
            d/dx(left side) = d/dx(right side)

    Say y is a function in x, y=f(x).
  1. Count the y's in the original equation.
  2. Each of the original y's requires a dy/dx once the derivative is taken.
  3. Isolate all the dy/dx on one side of the equation.
  4. Solve for the dy/dx as one usually solves an equation.

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