Find the first order partial derivatives of
\(f(x, y) = \frac{3xy}{(y - 1)^2}\)
\(f_x(x, y) = \frac{3y}{(y - 1)^2}\) and \(f_y(x, y) = \frac{-3x}{(y - 1)^3}\)
\(f_x(x, y) = \frac{3y}{(y - 1)^2}\) and \(f_y(x, y) = \frac{3x}{-2(y - 1)}\)
\(f_x(x, y) = \frac{3y^2}{(y - 1)^2}\) and \(f_y(x, y) = \frac{-3x(y + 1)}{(y - 1)^3}\)
\(f_x(x, y) = \frac{3y}{(y - 1)^2}\) and \(f_y(x, y) = \frac{3x}{(y - 1)^3}\)
\(f_x(x, y) = \frac{3}{(y - 1)^2}\) and \(f_y(x, y) = \frac{3x}{2(y - 1)}\)
\(f_x(x, y) = \frac{3y}{(y - 1)^2}\) and \(f_y(x, y) = \frac{-3x(y + 1)}{(y - 1)^3}\)
