How to implicitly differentiate an evaluate through a point

The video tutorial covers implicit differentiation, focusing on taking derivatives of implicit equations using D over DX. It explains the application of the product and quotient rules in differentiation. The tutorial then demonstrates how to solve for DY/DX and evaluate the slope at a given point by substituting specific values for X and Y. The process involves factoring and simplifying the equation to find the slope, which is the final answer.

How does the derivative of a constant behave in differentiation?

What is the final expression for DY DX derived from the given equations?

Describe how to evaluate the slope at a given point using DY DX.