Derivatives: Additional Definitions and Examples

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

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

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

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

Covers the concept of partial derivatives and their applications in mathematical analysis.