Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums

Related lectures (30)

Page 2 of 3

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.