Question
Find the indicated partial derivative. (Assume a, b, and c are greater than three.)
u = x^(a)y^(b)z^(c)
[∂^(6)u]/[∂x ∂y^(2)∂z^(3)]=
u = x^(a)y^(b)z^(c)
[∂^(6)u]/[∂x ∂y^(2)∂z^(3)]=
Answers
oobleck
U = x^a y^b z^c
Ux = ax^(a-1) * y^b * z^c
Uxy = ax^(a-1) * by^(b-1) * z^c
Uxyy = ax^(a-1) * b(b-1)y^(b-2) * z^c
See where this is going?
Ux = ax^(a-1) * y^b * z^c
Uxy = ax^(a-1) * by^(b-1) * z^c
Uxyy = ax^(a-1) * b(b-1)y^(b-2) * z^c
See where this is going?