Find the intervals of monotonicities and hence find the local extremum for the following functions: f(x)=ex1-ex

Find the intervals of monotonicities and
hence find the local extremum for the
following functions: $f (x) = \frac{e^{x}}{1 - e^{x}}$

Matching exercise

Match the items on the right to the items on the left.

Step - 1

Step - 2

Step - 3