How to use implicit differentiation on an equation for dy dx

The video tutorial explains the process of differentiating both sides of an equation with respect to X, focusing on equations involving X and Y variables. It covers applying derivatives to various terms, understanding when variables match, and collecting and factoring terms. The tutorial concludes with solving for DYDX, the derivative of Y with respect to X.

How do you factor out DY DX from the equation after differentiating?

What is the final expression for the derivative of Y with respect to X?