Lecture

Implicit Function Theorem: Tangent Hyperplane

In course

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Description

This lecture covers the implicit function theorem for n=2 and n=3, with examples and the equation of a tangent hyperplane to a hypersurface defined by an equation. The theorem is explored through the concept of implicit functions, their derivatives, and the tangent lines to curves defined by implicit functions.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_bsxcz0q3

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Geometry: Euclidean geometry

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