The variables \(x\) and \(y\) are such that \(y=-1\) when \(x=1\) and
\(x^{2}+y^{2}+\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)^{3}=29\)

Find the values of \(\frac{\mathrm{d} y}{\mathrm{~d} x}\) and \(\frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}\) when \(x=1\).