How to take the derivative of an equation implicitly

The video tutorial explains the process of differentiating an equation with respect to X. It begins by introducing the concept of differentiation and applying derivatives to various terms. The instructor then simplifies the equation by combining like terms and factoring out common elements. The main goal is to solve for DY DX, which is achieved by isolating DY DX on one side of the equation and dividing by the remaining terms. The final solution is presented as DY DX equals 2X over three y squared plus 2Y minus 5.

Describe the steps taken to solve for dy/dx in the provided differentiation problem.

What is the final expression for dy/dx after solving the equation?