Find \frac{\partial^2 f}{\partial x^2}, \frac{\partial^2 f}{\partial y^2}, \frac{\partial^2 f}{\partial x \partial y}, and \frac{\partial^2 f}{\partial y \partial x}.
f(x, y) = 4x^2y
\frac{\partial^2 f}{\partial x^2} = \boxed{8y}
\frac{\partial^2 f}{\partial y^2} = \boxed{}
\frac{\partial^2 f}{\partial x \partial y} = \boxed{}
\frac{\partial^2 f}{\partial y \partial x} = \boxed{}
Evaluate them all at (1, -1) if possible. (If an answer is undefined, ent
\frac{\partial^2 f}{\partial x^2}(1, -1) = \boxed{}
\frac{\partial^2 f}{\partial y^2}(1, -1) = \boxed{}
\frac{\partial^2 f}{\partial x \partial y}(1, -1) = \boxed{}
\frac{\partial^2 f}{\partial y \partial x}(1, -1) = \boxed{}