If y=8ex+xe\displaystyle {y}={8}{e}^{{x}}+{x}^{{e}}, find  dydx.\displaystyle \frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}. \displaystyle .

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