6. By using the chain rule find the vector of partial derivatives $(\frac{\partial z}{\partial s}, \frac{\partial z}{\partial t}, \frac{\partial z}{\partial u})$ for $z = x^2 - xy^2$ with $x = 2s + t - u$ and $y = st^2u^2$ at the point $(s, t, u) = (2, -1, 1)$.
A. 0 B. $(0, -8)$ C. $(1, 4, -4)$ D. $2x - 2xy$ E. $(2s - t + u)^2 - (2s - t + u)(st^2u^2)^2$ F. $(-8, -32, 32)$
G. $(2, -1, 1)$ H. $(-8, 32, 32)$ I. $(1, -4, 4)$ J. none of the above