Extrema: Local and Global

Related lectures (29)

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Explores the properties of continuous functions, including maximum and minimum values and intermediate values.

Covers continuous functions, derivability, and global properties in differential calculus.

Explores conditions for local extrema in two and three variables, along with implicit functions and finding absolute minima and maxima.

Covers finding unique local maxima and functions oscillating infinitely.

Explains the Lagrange method with 2 constraints and composite functions' derivatives.

Covers the bisection method proposition and its demonstration for finding roots.

Explains global and local extrema of functions, including the possibility of functions having no maximum or minimum values.

Covers the surjectivity of the derivative application for continuous functions on closed intervals.

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Explores continuous functions, Cauchy criterion, and function extension by continuity.

Explains how a function reaches its maximum and minimum values.

Covers integration by change of variables and the derivation in chain rule.

Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).

Introduces the concepts of minimum and maximum values for continuous functions.

Covers the Mean Value Theorem in differential calculus, focusing on critical points and global extrema within intervals.

Covers extreme values of continuous functions on compact sets and differentiability.

Covers the theorem of intermediate values and finding maximum and minimum values of functions on closed intervals.

Explores Fubini's Theorem for multiple integrals, emphasizing the n=2 case.

Covers the theorems on continuous functions and extremums in compact sets.

Page 1 of 2