Sujetos
Página inicial
/
Matemática
/
H(x,y)=[} (partial ^2f)/(partial X^2)&(partial ^2f)/(partial Xpartial Y) (partial ^2f)/(partial Ypartial X)&(partial ^2f)/(partial Y^2)

Question

H(x,y)=[} (partial ^2f)/(partial x^2)&(partial ^2f)/(partial xpartial y) (partial ^2f)/(partial ypartial x)&(partial ^2f)/(partial y^2) ] Calculando as derivadas de segunda ordem: (partial ^2f)/(partial x^2)=6x, (partial ^2f)/(partial y^2)=2, (partial ^2f)/(partial xpartial y)=(partial ^2f)/(partial ypartial x)=0

Solution

Verificación de expertos
4.7 (236 Votos)
Ursula Maria Especialista · Tutor por 3 anos

Resposta

matriz Hessiana é dada por: Substituindo as derivadas de segunda ordem fornecidas, temos: Portanto, a matriz Hessiana é: