Lectures related to Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums

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

Covers Taylor approximation, convex functions, and integrable properties.

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

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

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

Explores concavity, convexity, critical points, and singularities in functions.

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

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

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.

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

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

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

Explores Taylor's formula, polynomials, functions, and series applications.

Explores convexity, optimization, and critical points in mathematical functions using the second derivative.

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Illustrates finding hyperplanes for surfaces and determining stationary points.

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

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

Covers analyzing the graph of a function using a nine-point process.

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