Chapter 5: Function Studies

Related lectures (31)

Page 2 of 4

Covers the concepts of limits and continuity, focusing on the demonstration of various theorems.

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

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

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

Explains necessary conditions for convergence in optimization problems.

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

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

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

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

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