Lectures related to Implicit function

Explores the implicit function theorem for n=2 and n=3, focusing on tangent hyperplanes.

Covers implicit functions of class C and the equation of the tangent plane.

Revisits exact differential equations, discussing implicit function theorem and factors integrants.

Discusses implicit functions and the local existence theorem for finding solutions.

Explores implicit functions and Lagrange multipliers, demonstrating their properties and applications.

Discusses finding min and max of functions on compact sets and the theorem of implicit functions.

Explores sufficient conditions for functions and implicit functions in finding solutions.

Illustrates finding hyperplanes for surfaces and determining stationary points.

Covers the Implicit Functions Theorem and its applications in defining functions implicitly.