Thanks for the support and suggestions. I purchased "I Don't Have to Make it All Better" and found it helpful in dealing with my BPD daughter and in other relationships. I was validating my daughter during one of her HUGE emotional outbursts and she said "I know what you're doing. I've taken pysch classes!' I am not proud of my response but I said "Well, what the F**** do you want me to do?" For some reason she calmed right down! Thanks again for this message board. I don't feel so alone any more.
Your daughter is smart

When my son hurt himself physically, it didn't matter what I said -- it was always wrong. "Are you ok?" would trigger him to get angry at me. So did asking him if I could help. So did every other possible response I could think of. I finally learned to say (with love ), "How would you like me to respond right now?" With the solution now in his court, he had to think about it. And he realized he didn't know. We no longer have this particular problem. He seems to accept that when he is hurt, I am listening, I care, and I trust him to take care of himself, whatever that might be.
Your response, even with the F bomb

, was similar. "How would you like me to respond?" is itself a validating question.
Another skill that I learned from a different book is to frame questions in a way that acknowledges my son's internal emotional life. He is very emotionally sensitive, and has higher than average needs for validation, and is not skilled at communicating those feelings and needs.
"Are you going to do theater this year at school?"
is now
"I remember when you came home in a good mood after the theater director gave you that big part in last year's show. How do you feel about auditioning again this year?"
I try to sound cooler than that

or work it in with other things. It helps remind me that emotions are part of everything we do, and it shines light on them so that my son feels more connected to me and to himself, and hopefully helps him feel this way with others.