Respuesta :

Answer:

[tex]\frac{dy}{dx} =\frac{1}{x} +1[/tex]

Step-by-step explanation:

[tex]y=ln(xe^x)[/tex]

  [tex]=ln(x)+ln(e^x)[/tex]

  [tex]=ln(x)+x[/tex]

Therefore,

[tex]\frac{dy}{dx} =\frac{1}{x} +1[/tex]