设 $z=\frac{y}{x} f(x y)$ ,其中函数 $f(u)$ 可微,则 $\frac{x}{y} \frac{\partial z}{\partial x}+\frac{\partial z}{\partial y}=\left[\begin{array}{ll} & ]\end{array}\right.$
A
$2 y f^{\prime}(x y)$ .
B
$-2 y f^{\prime}(x y)$ .
C
$\frac{2}{x} f(x y)$ .
D
$-\frac{2}{x} f(x y)$ .
E
F