The curve \(C\) has equation
\(x y^{3}-4 x^{3} y=3 .\)
(a) Show that, at the point \((-1,1)\) on \(C, \frac{\mathrm{~d} y}{\mathrm{~d} x}=11\).
(b) Find the value of \(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\) at the point \((-1,1)\).