Advanced Analysis II: Hessians and Directional Derivatives

Related lectures (21)

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

Explains partial derivatives, Hessienne matrix, and their properties.

Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.

Explores differentiable functions, Taylor approximations, and directional derivatives in open sets.

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

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

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

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

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

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.