Sumários

Aula 25

26 Abril 2022, 09:30 Rita Sousa


Vetor gradiente. Derivada direcional.

Relação entre derivadas direcionais e gradiente no caso de funções diferenciáveis.

Direção de maior crescimento.

Lecture 25

26 Abril 2022, 09:30 Rita Sousa


THEORY

- The directional derivative of a two-variable function at a point and along a unitary vector;

- Formula for the directional derivative of a differentiable two-variable function at a point and along a unitary vector;

- The gradient vector of a two-variable function at a given point: reinterpretation of the directional derivative as an inner product between vectors.

PRACTICE

The following exercises from CUP - Week 9 were discussed:

- Ex. 1, 2 and 3

BIBLIOGRAPHY

Section 14.6 of J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.

Aula 1 Semana 9

26 Abril 2022, 08:00 Rita Sousa


Derivada Direcional e Gradiente

Aula 24

8 Abril 2022, 09:30 Rita Sousa


Regra da cadeia. Derivação implícita.

Resolução de exercícios da semana 8 da PUC.

Aula 24

7 Abril 2022, 16:00 Rita Sousa


Regra da cadeia. Exercícios