Few questions about behaviors of a function

[Sinister]

Homework Statement

Find the
A) Vertical and horizontal asymptotes
B) *Intervals of increase or decrease*
C) Local max and local min values

For the function:
f(x)= ln(1-lnx)

Homework Equations

I know that the derivative of the function is
f'(x)= 1/(x-xlnx)

but I'm so confused on how to find the asymptotes and the intervals of increase and decrease...

The Attempt at a Solution

Found f'(x) and equated it to zero... but i messed up somewhere.. clueless :S

 

[Mark44]

Homework Statement

Find the
A) Vertical and horizontal asymptotes
B) *Intervals of increase or decrease*
C) Local max and local min values

For the function:
f(x)= ln(1-lnx)

Homework Equations

I know that the derivative of the function is
f'(x)= 1/(x-xlnx)

but I'm so confused on how to find the asymptotes and the intervals of increase and decrease...

The Attempt at a Solution

Found f'(x) and equated it to zero... but i messed up somewhere.. clueless :S

For A, are there any values of x for which f(x) is not defined? This is related to vertical asymptotes.

As x approaches +inf or -inf, does f(x) approach some specific value? If so, the function has a vertical asymptote. Presumably you did this kind of analysis in the class before calculus.

For B, you have found f'(x). Where is f'(x) > 0? That's where the graph of f is increasing. Where is f'(x) < 0? That's where the graph of f is decreasing.

For C, a good start is finding where f'(x) = 0.