Local Inversion Theorem

Related lectures (27)

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Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers the conditions for finding absolute extrema in multivariable functions.

Explores directional derivatives in two-variable functions and extremum points.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Discusses optimization techniques, focusing on local and global extrema in functions.