Question

Question #ee147

Answer 1

`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`