Lectures related to Rolle's Theorem

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

Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.

Explores Hessians, directional derivatives, and function continuity in advanced analysis.

Covers the derivative of the composition of two functions and the chain rule theorem.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

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

Explores the extension of the chain rule to higher dimensions and compositions of functions.