Tangent Plane to Implicit Function

This lecture covers the concept of the tangent plane to an implicit function, focusing on the equation of the tangent plane and the normal vector. It explains how to write the equation of the tangent plane, the product of scalar, and the normal product. The lecture also discusses examples of finding the equation of the tangent plane and the orthogonal support. Moreover, it delves into the graphical representation of the tangent plane and the level sets of functions. The instructor demonstrates how to determine the equation of the tangent line and provides insights into the graphical interpretation of the tangent plane.