022 10.0 points
Determine $g = g(x, y)$ so that
$\frac{\partial f}{\partial y} = \frac{g(x, y)}{(3x^2 + y^2)^2}$
when
$f(x, y) = \frac{2x^2y}{3x^2 + y^2}$.
1. $g(x, y) = 6x^4 - 2x^2y^2$
2. $g(x, y) = 6x^4 - 4x^2y^2$
3. $g(x, y) = 12x^4 + 4x^2y^2$
4. $g(x, y) = 12x^4 - 2x^2y^2$
5. $g(x, y) = 6x^4 + 2x^2y^2$