A curve has equation \(y=\frac{\left(3 x^{2}-5\right)^{\frac{1}{3}}}{x+4}\). (a) Show that \(\frac{\mathrm{d} y}{\mathrm{~d} x}\) can be written in the form \(\frac{A x^{2}+B x+C}{\left(3 x^{2}-5\right)^{\frac{2}{3}}(x+4)^{2}}\), where \(A, B\) and \(C\) are integers. (b) Hence find the \(x\)-coordinates of the stationary points on the curve. Give your answers in their simplest exact form.