How do I find the time the user changed their password using the Google APIs?
You cannot, that's the answer.
This is for users in Google Apps for Business or Education.
Using the Reports API in the Admin SDK I can see when the admin changed another user's password, but I cannot find an API that will tell me when a user has changed their password.  I have changed mine twice in the past couple days and it does not come up in Reports API any where.  Thanks for the help.