Caudiciforms: help with Adenium arabicum?, 1 by momlady

momlady wrote:
I keep almost killing this poor thing. As soon as it gets a few leaves on those great branches, they die off.
I keep it with low water, in a west window (where I live, this means moderate sun, not high sun), and not much fertilizer. I tend to water it a little more when it starts to leaf out.
Do you have any suggestions? I am afraid to change anything because I really don't want to kill it.

By the way, is it deciduous?