\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-2\,xy \left( x \right) +2\,{x}^{3}-2\,x- \left( y \left( x \right)  \right) ^{3}+3\,{x}^{2} \left( y \left( x \right)  \right) ^{2}-3\,y \left( x \right) {x}^{4}+{x}^{6}}{-y \left( x \right) +{x}^{2}-1}}=0}
\]