Lesson n. 21

31 Março 2022, 08:00 • Rita Sousa

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Partial Derivatives: Clairaut's Theorem and study of partial derivatives sign.

Resolution of exercises: ex. 8 and 9, CUP - Week 7.

Aula 21

31 Março 2022, 08:00 • Rita Sousa

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Derivadas parciais de primeira ordem e de ordem superior. Teorema de Clairaut.

Aula 20

30 Março 2022, 09:30 • Rita Sousa

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Generalização dos conceitos de limite e continuidade para funções em R^n. Superfícies de nível. Derivadas parciais.

Lecture 20

30 Março 2022, 09:30 • Rita Sousa

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THEORY

- Definition of continuity of a two-variable function;

- Composition of two-variable continuous functions with one-variable continuous functions: constructing new two-variable continuous functions.

PRACTICE

The following exercises from CUP - Week 7 were discussed:

- Ex. 1, 2 e 4

BIBLIOGRAPHY

Section 14.2 of J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.

Lesson n. 20

30 Março 2022, 08:00 • Rita Sousa

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Partial derivatives: definition, geometric interpretation and notation.

Resolution of excercises: ex.5, 6, 10 and 7, CUP - Week 7