Lecture

Tangent Plane to Implicit Functions

Description

This lecture covers the concept of the tangent plane to implicit functions, discussing the equation of the tangent plane for a function of two defined variables, the existence of a neighborhood around a point, and the graphical representation of the tangent plane. It also explores the scalar product, consequences of the equation, and different ways to express the equation. The lecture emphasizes the importance of understanding the tangent plane in relation to the graph of a function.

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