Question

Seja f(x,y,z)=2x+y+z a derivada parcial f em relação a x

Answer 1

$f\left(x,\,y,\,z \right )=2x+y+z\\ \\ \\ \\ \dfrac{\partial f}{\partial x}=\dfrac{\partial}{\partial x}(2x+y+z)\\ \\ \\ \dfrac{\partial f}{\partial x}=\dfrac{\partial}{\partial x}(2x)+\dfrac{\partial}{\partial x}(y)+\dfrac{\partial}{\partial x}(z)\\ \\ \\ \dfrac{\partial f}{\partial x}=2+0+0\\ \\ \\ \dfrac{\partial f}{\partial x}=2$