Advanced Analysis II: Differentiable Functions

Related lectures (23)

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Explores derivatives, Hessians, and Taylor approximations for differentiable functions.

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

Explains partial derivatives, Hessienne matrix, and their properties.

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

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

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

Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.