Lectures related to Function Studies: Limits, Derivatives, and Convexity

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

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.

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

Illustrates finding hyperplanes for surfaces and determining stationary points.

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

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

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

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

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

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.

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.