Question

Calcule as derivadas parciais ∂z/∂x e ∂z/∂y da função z = (x²+xy+y)^5

Answer 1

$\dfrac{\partial z}{\partial x}=5(x^2+xy+y)^4(2x+y+0)=5(x^2+xy+y)^4(2x+y)$

$\dfrac{\partial z}{\partial x}=5(x^2+xy+y)^4(0+x+1)=5(x^2+xy+y)^4(x+1)$