Rolle's Theorem and Mean Value Theorem

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Page 3 of 4

Explores Rolle's Theorem and its corollaries, including applications and proofs.

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

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

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

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Explains how a function reaches its maximum and minimum values.

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

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.