Derivability and Maximum Values

Related lectures (31)

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Explores the Intermediate Value Theorem, continuous functions, and the verification of their continuity in various examples.

Explores the Darboux theorem for continuous functions on closed intervals, emphasizing uniform continuity and function behavior implications.

Explains how a function reaches its maximum and minimum values.

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

Covers the definition and criteria for continuous functions and explores the intermediate value theorem.

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

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

Covers Rolle's Theorem and the Mean Value Theorem with illustrative examples.

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

Covers Rolle's Theorem and the Mean Value Theorem, demonstrating their applications through examples.