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Lecture
Differentiability and Tangent Planes in Multivariable Functions
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Related lectures (15)
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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 Planes in Multivariable Functions
Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.
Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Differentiability of Functions in Two Variables
Covers differentiability of functions in two variables and the conditions for a function to be differentiable.
Functions of Class C^p
Explores functions of class C^p, emphasizing continuity and differentiability properties.
Differentiability and Composition
Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Implicit Function Theorem: Tangent Planes and Derivatives
Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.
Partial Derivatives of Order 3
Covers the calculation of partial derivatives of order 3 and the concept of differentiability in functions.
Limits and Derivatives in Multivariable Functions
Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.