Lectures related to Implicit Function Theorem

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Covers Taylor approximation and extrema in multivariable functions with examples.

Explores the study of local extrema using derivatives and the importance of continuity at critical points.

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

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

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

Covers the analysis of local and global extrema, concavity, and inflection points.