I would start by requesting an IEP evaluation from your daughter's school. These tests will give you a starting point, and depending on the results, may give her a diagnosis that will qualify her for additional resources. And an IEP, if she qualifies, will provide her with additional support at school which may prove beneficial for her.
While a neuropsychologist might be the gold standard to reach for, an academic psychologist, along with a clinical psychologist and psychiatrist to address any underlying mental illness, will give you a good initial picture of her situation and should get you started on interventions and treatments. The onset of puberty may be sending her hormones into overdrive, causing her behaviors to escalate.
I also wanted to add that unless it is your personal preference to pay out of pocket for a private academic psychological evaluation for either of your daughters, the school system is obliged to perform these services at no cost to you as part of an IEP evaluation. Based on your description it sounds like this is appropriate for both of your girls. Hope this helps.
