In calculus, a methods of  implicit differentiation,  Makes use of the chain rule to differentiate implicitly defined functions. To differentiate an implicit function y ( x ), defined by an equation R ( x, y) = 0, it is not generally possible to solve it explicitly for y and then differentiate.

The derivatives of inverse trig functions we’ll need the formula from the last section relating the derivatives of inverse functions.

implicit and inverse trig-2

Implicit and inverse trigonometry