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Lecture
Directional Derivatives
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Related lectures (22)
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Directional Derivatives
Explores directional derivatives, their calculation, examples, and cases of lack of continuity.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Differentiability and Composition
Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
Partial Derivatives and Gradient
Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.
Partial Derivatives and Derivability Theorems
Introduces partial derivatives, directional derivatives, and differentiability of functions with examples and the Schwartz theorem.
Functions with Values in R^m
Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.
Partial Derivatives and Differentiability
Explores partial derivatives, differentiability conditions, and verification methods, emphasizing the importance of continuity.