Question

What is the second derivative of `f(x)= ln sqrt(3x-7)`?

Answer 1

Hence the function can be written as follows

`f(x)= ln sqrt(3x-7)=>f(x)=ln(3x-7)^(1/2)=> f(x)=1/2*ln(3x-7)`

The first derivative is

`(df)/dx=1/2*((3x-7)')/(3x-7)=1/2*3/[3x-7]`

Finally

`f'(x)=3/(2*(3x-7))`