设函数 $z=f(x, y)$ 在点 $(1,1)$ 处可微，且
$$
f(1,1)=1,\left.\frac{\partial f}{\partial x}\right|_{(1,1)}=2,\left.\frac{\partial f}{\partial y}\right|_{(1,1)}=3, \varphi(x)=f(x, f(x, x)) .
$$
$$
\text { 求 }\left.\frac{d}{d x} \varphi^3(x)\right|_{x=1} \text {. }
$$