\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =1/25\,{\frac {30\,{x}^{3}+25\,\sqrt {x}+25\, \left( y \left( x \right)  \right) ^{2}-20\,{x}^{3}y \left( x \right) -100\,y \left( x \right) \sqrt {x}+4\,{x}^{6}+40\,{x}^{7/2}+100\,x}{x}}=0}
\]