Differential Calculus: Theorem of Finite Increments

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Page 3 of 4

Explores the integral change of variable formula and its applications in calculus.

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

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

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

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

Introduces and summarizes differential calculus, covering continuous functions, limits, differentiability, and tangent planes.

Explains definitions and remarks about closed intervals in functions.

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

Explores continuous functions on closed intervals, emphasizing the importance of understanding definitions for continuity.