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Lecture
Partial Derivatives: Understanding and Applications
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Partial Derivatives
Covers the concept of partial derivatives and their applications in optimization and tangent plane approximation.
Functions of Class C^p
Explores functions of class C^p, emphasizing continuity and differentiability properties.
Functions: Multivariable Functions and Exact Differentials
Explores functions as a function of time and space, differentiation of multivariable functions, exact differentials, and gradients.
Differentiability in Analysis
Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.