Sumários

Differentiation

23 Abril 2024, 11:00 Pedro Soares

Differentiation and monotony.

Maximums and minimums: Weirstrass Theorem and Fermat Theorem.

Rolle Theorem and Langrage Theorem.


Differentiability

22 Abril 2024, 10:00 Pedro Soares

Differentiability: definition and tangent line.

Derivatives and functions operations(sum, product, composition and inverse).

Indeterminations and Cauchy rule.


Inverse Trigonometric functions

19 Abril 2024, 14:30 Pedro Soares

Discussion of the exercises: 1,2,4 


Inverse functions and continuity

16 Abril 2024, 11:00 Pedro Soares

Inverse functions: examples and graphs.

Limit of functions and operations of functions.

Continuity and Mean Value Theorem.


Real functions of a real variable

15 Abril 2024, 10:00 Pedro Soares

Functions: domain, graph, monotone and injective.


Operations over functions: sum, multiplications, division and composition.