Solution
= Solution
The requested <partial derivatives> are
$$
\boxed{\begin{aligned}
f_x&=3x^2+2x+2\alpha y+2\alpha,&
f_y&=2\alpha x+2y+2,\\
f_{xx}&=6x+2,&
f_{xy}&=2\alpha,&
f_{yy}&=2.
\end{aligned}}
$$
The last printed derivative has a misplaced superscript on $f$; the second-derivative list and subsequent <Taylor expansion> use $f_{yy}$.