Rolle's Theorem and Corollaries

Related lectures (27)

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Demonstrates how to use a specific function to prove Rolle's Theorem.

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

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

Explores derivability, continuity, and composite functions with illustrative examples.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores derivatives, local extrema, and function variation in mathematical analysis.

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Covers the demonstration of the chain rule and the theorem of Rolle.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

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