Question

Question #9f557

Answer 1

`1/(x-1)-1/x` or (equivalently) `1/(x(x-1))`

Explanation:

`ln(1-1/x) = ln((x-1)/x) = ln(x-1)-lnx`

So the derivative is

`1/(x-1)-1/x` which can be written `1/(x(x-1))`