How to write the equation of the tangent line with implicit equation

The video tutorial explains how to solve and isolate derivatives, specifically focusing on dydx. It covers the process of taking derivatives with respect to X, finding the slope at a given point, and combining like terms to solve for dydx. The tutorial emphasizes the importance of clearly stating the steps taken during the process and provides examples to illustrate the concepts.

What is the first step in isolating Y in the given context?

Explain the process of differentiating both sides with respect to X.

What expression do you get after collecting all dydX terms?

What is the final expression for DYDX after substituting the values?

How do you find the slope at the point (1, -3)?

What does the final answer of 1/8 represent in the context of the problem?

Discuss the importance of stating that you are taking the derivative of both sides.