Lectures related to Points 7-9 du procédé

Explores inflection points in functions, emphasizing the role of the second derivative.

Illustrates finding hyperplanes for surfaces and determining stationary points.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.

Covers the study of functions, including limits, derivatives, and sign variations.

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

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.

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

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

Explores limits, derivation rules, integrals, and exact differentials for practical applications.

Explores determining local maximums, minimums, and inflection points of functions.

Explains necessary conditions for convergence in optimization problems.

Covers the concept of stationary points in optimization and how to identify local extrema.

Explores Taylor series, function properties, inflection points, and critical points in graphical and mathematical contexts.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Discusses extrema of functions with multiple variables and the hessian matrix.

Explains how to find local extrema of functions using derivatives and critical points.

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.