kishajoneske6613 kishajoneske6613
  • 14-01-2020
  • Mathematics
contestada

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.
y =In x^2/x + 1

Respuesta :

aristeus aristeus
  • 15-01-2020

Answer:

Derivative of the function will be [tex]\frac{1}{x}[/tex]

Step-by-step explanation:

We have given expression [tex]y=ln\frac{x^2}{x}+1[/tex]

We have to differentiate this expression

[tex]y=ln\frac{x^2}{x}+1=lnx+1[/tex]

Now differentiating both side

[tex]\frac{dy}{dx}=\frac{1}{x}+0=\frac{1}{x}[/tex]

So value of derivative of the expression will be [tex]\frac{1}{x}[/tex]

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