The curve \(C\) has equation
\(4 y^{3}+(x+y)^{6}=109 .\)
(a) Show that, at the point \((-4,3)\) on \(C, \frac{\mathrm{~d} y}{\mathrm{~d} x}=\frac{1}{17}\).
(b) Find the value of \(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\) at the point \((-4,3)\).