Find dydx\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}} where

y3e4x7x9y6=4\displaystyle {y}^{{{3}}}{e}^{{-{4}{x}}}-{7}{x}^{{{9}}}-{y}^{{{6}}}={4}

dydx=\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=