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