justheretolearn09127 justheretolearn09127
  • 25-01-2022
  • Mathematics
contestada

Find the derivative of ln(xe^x).

Respuesta :

semsee45
semsee45 semsee45
  • 25-01-2022

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]

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