Partial Derivatives: Definitions and Interpretations

Related lectures (20)

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

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Covers partial derivatives, Hessian matrices, and their importance for functions with multiple variables.

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

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

Covers the concept of partial derivatives and properties of saddle points.

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

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

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

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