Preheat your oven to 400°F (200°C).
In a small bowl, combine the dried rosemary, dried thyme, garlic powder, sea salt, and black pepper to create a dry rub.
Rub the spice mixture evenly over all sides of the pork tenderloin, pressing it in so it adheres well.
Heat half of the olive oil in a large oven-safe skillet over medium-high heat.
Sear the pork tenderloin for 2-3 minutes per side until a golden-brown crust forms on the exterior.
While the pork sears, trim the woody ends off the asparagus and thinly slice the carrots.
Toss the asparagus and carrots with the remaining olive oil and a pinch of salt in a mixing bowl.
Arrange the vegetables in the skillet around the seared pork.
Transfer the skillet to the oven and roast for 15-20 minutes, or until the pork reaches an internal temperature of 145°F.
Remove from the oven and let the pork rest on a cutting board for 5-10 minutes before slicing into medallions to ensure the juices redistribute.