Lectures related to Derivatives: Additional Definitions and Examples

Explores real functions, covering parity, periodicity, and polynomial functions.

Provides solutions to an Analysis I exam, covering various topics.

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

Explores lateral derivatives, limits of derivatives, and function differentiability at specific points.

Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.

Explores functions, derivatives, classes in neighborhoods, and compound functions.

Explores differentiability, tangent lines, and graph interpretation.

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Covers the demonstration of a theorem using mathematical expressions and hypotheses.

Covers the statement of the Bernoulli's Hospital Rule and its application.