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Lecture
Differentiability and Derivatives
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Functions of Class C^p
Explores functions of class C^p, emphasizing continuity and differentiability properties.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Differentiability and Hessians
Explores functions of class C^p, Hessian matrices, and methods to verify differentiability at a point.
Partial Derivatives and Differential Equations
Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.
Partial Derivatives and Derivability
Explains partial and directional derivatives, and functions' derivability.
Functions with Multiple Variables
Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.