Question

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

y =In x^2/x + 1

Answer 1

Derivative of the function will be
`(1)/(x)`

Explanation:

We have given expression
`y=ln(x^2)/(x)+1`

We have to differentiate this expression

`y=ln(x^2)/(x)+1=lnx+1`

Now differentiating both side

`(dy)/(dx)=(1)/(x)+0=(1)/(x)`

So value of derivative of the expression will be
`(1)/(x)`