You must change your status to one that permits employment. Most options require an employer who petitions you based on an offer of emplyment. You may otherwise qualify for employment authorization if your spouse is eligible to apply for adjustment of status. You cannot obtain employment authorization in F-2 under any circumstance.
Change statuts that allows employment. H1b, l1, F1 on campus...you should see an attorney to discuss your options.
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I agree with Attorney Schmidt.
The answer provided here is general in nature and does not take into account other factors that may need to be reviewed for a more precise answer. You should consult with an immigration attorney before taking any action. The answer here is not intended to create an attorney-client relationship.