ABSTRACT
Differentiation of implicit functions is another special technique, but it occurs often enough to be important. It is needed for more complicated problems involving different rates of change. However, implicit differentiation is nothing more than a special case of the function of a function for derivatives. Engineering applications where implicit differentiation is needed are found in optics, electronics, control, and even some thermodynamics. The chapter describes implicit functions, differentiate simple implicit functions and differentiate implicit functions containing products and quotients. The product and quotient rules of differentiation must be applied when differentiating functions containing products and quotients of two variables.
