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

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Answer 1 · 2016-03-21T07:47:38

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))#