i need help with this please

Community Answer

【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/1solution; given that the equation is \( \mathrm{{x}^{{2}}{y}-{6}{y}^{{7}}=-{3}} \)now we implicitely differentiate it w,r,t,x that is \( \mathrm{\frac{{d}}{{{\left.{d}{x}\right.}}}{\left({x}^{{2}}{y}-{6}{y}^{{7}}\right)}=\frac{{d}}{{{\left.{d}{x}\right.}}}{\left(-{3}\right)}} \)\( \mathrm{{y}\frac{{d}}{{{\left.{d}{x}\right.}}}{\left({x}^{{2}}\right)}+{x}^{{2}}\frac{{d}}{{{\left.{d}{x}\right.}}}{\left({y}\right)}-\frac{{d}}{{{\left.{d}{x}\right.}}}{\ ... See the full answer