Question #ee147

1 Answer
Jan 24, 2018

1/(x-1)-3/x

Explanation:

ln(a/b)=ln(a)-ln(b)

=>f(x)=ln((x-1)/x^3)=ln(x-1)-ln(x^3)

ln(a^b)=b*ln(a)

=>f(x)=ln(x-1)-3ln(x)

d/dx(ln(x))=1/x

=>f'(x)=1/(x-1)*d/dx(x-1)-3/x=1/(x-1)-3/x