Finding dy/dx using implicit differentiation

In this math example, we are given an equation and tasked with using implicit differentiation to find dy/dx = y'. To do so, we walk through the steps of using the power rule, one term at at time. We are careful to include dy/dx when we take the derivative of a term that has the variable y. All terms that contain a dy/dx are moved to one side of the equation, while those that do not have a dy/dx are moved to the other side. The common factor of dy/dx is factored out and both sides are divided to isolate dy/dx on one side by itself.