Definition of Differentiable Functions

Related lectures (29)

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Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores derivatives, Hessians, and Taylor approximations for differentiable functions.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Explores differentiable functions in R², including vector fields and coordinate transformations.

Covers the definition of derivative functions and their interpretation, focusing on differentiability, velocity, and curve lengths.

Explores the definition of connections for smooth vector fields on manifolds.

Explores differentiability in two variables and the chain rule for compositions.