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Lecture
Differentiable Functions in R²
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Related lectures (26)
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Functions of LR: Differentiability
Explains differentiability in LR functions and introduces the Jacobian matrix.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Differentiability and Tangent Lines
Explores differentiability, tangent lines, and graph interpretation.
Differentiable Functions: Definitions and Properties
Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.
Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Derivative Chain Rule
Covers the derivative of the composition of two functions and the chain rule theorem.
Continuity and Differentiability of Functions
Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.
Chain Rules
Explores the extension of the chain rule to higher dimensions and compositions of functions.