Preheat your oven to 425°F and line a large sheet pan with parchment paper or foil for easy cleanup.
In a small bowl, whisk together the Dijon mustard, honey, 1 tablespoon olive oil, minced garlic, rosemary, ½ teaspoon salt, and ¼ teaspoon pepper.
Pat the pork tenderloin dry and place it in the center of the sheet pan. Brush the Dijon mixture generously all over the pork, coating it completely.
In a bowl, toss the green beans and carrots with the remaining 2 tablespoons olive oil, ½ teaspoon salt, and ¼ teaspoon pepper. Arrange the vegetables around the pork on the sheet pan.
Roast for 20-25 minutes, or until the pork reaches an internal temperature of 145°F and the vegetables are tender and slightly caramelized.
Let the pork rest for 5 minutes before slicing. Serve the sliced pork with the roasted vegetables and drizzle any pan juices over the top. So good!