VIDEO DESCRIPTION: One must use implicit differentiation, when the function of which has to find the derivative is not given with respect to one variable and it is impossible to bring it to this form. In other words it can't be brought to explicit form with respect to this variable. In this case we said that the function is in implicit form in terms of that variable, for example the function x^3y-x^2y^3 = 3x^3y^2.
Implicit differentiation is an application of the chain rule of differentiation.
An illustrated example on the topic explaining all aspects of the theory part, follows.