The quotient rule says that (u/v)' = (vu' - uv')/v², where u' and v' are the differentials of u and v with respect to x.

Taking u = 1 and v = ln x means that u' = 0 and v' = 1/x, so (u/v)' would be **-1/x(ln x)²**.

There may be a simpler way of doing that that gives a simpler answer, but I'm sleepy so I can't see one.