what do you want to study? domain? continuity? differentiability? integrability? huh?
The domain of consists of all values of such that
I found a different answer for both the domain and . Hint: since is positive, multiplying the three expressions by will preserve the inequalities and result in an equivalent statement.
Extrema are found only at critical points, i.e., boundary points, points at which , and points at which doesn't exist.
Inflection points are found where , on one side next to the point, and on the other side next to the point.