Preheat oven to 375 degrees.
Line baking sheet with aluminum foil.
In a small bowl, mix 5 tsp olive oil, brown sugar and garlic until blended. set aside.
Place carrots and onion lengthwise down middle of prepared pan.
Drizzle remaining olive oil over vegetables and sprinkle with salt and pepper.
Rub brown sugar mixture over all sides of tenderloin.
Place tenderloin on top of vegetables.
Roast for 35-45 minutes, until temperature in center reaches 150.
Remove from oven and tent with foil. Allow to rest 10 minutes.
Slice and serve.