Lectures related to Optimization: Local Extrema

Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.

Covers the demonstration of a theorem using mathematical expressions and hypotheses.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Explores functions, derivatives, classes in neighborhoods, and compound functions.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Explores derivability and function composition with examples.

Covers the fundamental concepts of integrals and primitives, including properties and examples.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

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