Derivatives and Convexity

Related lectures (28)

Page 2 of 3

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

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

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

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

Explores the theory and application of Taylor polynomials for function approximation and limit calculations.

Illustrates finding hyperplanes for surfaces and determining stationary points.

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

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