Remove the prime rib from the refrigerator 1 hour before cooking. Preheat oven to 325°F (165°C).
In a small bowl, mix garlic, rosemary, thyme, olive oil (or butter), salt, and pepper.
Rub the herb mixture evenly over the entire roast.
Place the roast on a rack in a roasting pan and cook until the internal temperature reaches desired doneness (about 120–125°F for medium-rare).
Remove from oven, tent loosely with foil, and let rest for 20 minutes.
Meanwhile, pour pan drippings into a saucepan and add beef broth. Simmer for 5–10 minutes, scraping up browned bits.
Slice the prime rib and serve with warm au jus.