Implicit Differentiation


    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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