Differential Calculus: Theorem of Finite Increments

Related lectures (31)

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

Demonstrates the practical importance of the fundamental theorem of calculus through a detailed example.

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

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

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

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

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

Discusses the Extreme Values Theorem for continuous functions on closed intervals.

Explores the Fundamental Theorem of Analysis for continuous functions on closed intervals, illustrated with examples like integrating cos(x).

Explores continuous and derivable functions on closed intervals.