Question

seja f (x,y,z)=2x+y+z,a derivada parcial de f em relação a x é:

Answer 1

$\dfrac{\partial f}{\partial x}=\dfrac{\partial (2x)}{\partial x} +\dfrac{\partial y}{\partial x}+\dfrac{\partial z}{\partial x}\\ \\ \dfrac{\partial f}{\partial x}=2\cdot\dfrac{\partial x}{\partial x} +0+0\\ \\ \\ \boxed{\dfrac{\partial f}{\partial x}=2}$