Lecture
This lecture covers the concept of finding the equation of a tangent hyperplane to a function, exploring the implications of the function being of class c on a given set. It delves into defining hyper surfaces and planes, and determining the equation of the tangent plane at a specific point. The lecture also discusses the application of the tangent equation and its relevance to the level surface of a function. Various exercises are presented to reinforce the understanding of tangent equations and their connection to graphs and surfaces.