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