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 24
8 Abril 2022, 09:30 • Rita Sousa
Regra da cadeia. Derivação implícita.
Resolução de exercícios da semana 8 da PUC.