2.6.5. Derivative of implicit function

The implicit function y of the argument x is a function whose values ​​are found from the equation linking x, y and not resolved with respect to y , i.e. .

The derivative of an implicit function is found by the following formula: .

The implicit function z of the x and y arguments is a function whose values ​​are found from the equation linking z, x, y and not resolved with respect to z , i.e. .

Derivatives of an implicit function are given by the following formulas: