MAKE THE LEMON AND HERB VINAIGRETTE:
In a small-medium bowl, whisk together the olive oil, vinegar, lemon zest and lemon juice.
Add tarragon, dill, salt, and pepper, whisking to combine. Set aside.
MAKE THE CHICKEN AND VEGETABLES:
Pre-heat the oven to 400 F.
In a large bowl, combine the potatoes, carrots, fennel, garlic, and bay leaves.
Pour the lemon vinaigrette over the vegetables, and add 1 teaspoon salt and 1 teaspoon pepper, stir to combine.
Place the vegetables in a large Dutch oven (or oven-ready roasting pan or dish).
Rub the chicken with the lemon-infused olive oil.
Sprinkle both sides evenly with the remaining 2 teaspoons of salt and 1 teaspoon of pepper.
Place chicken on top of vegetables.
Bake until a meat thermometer inserted in the thickest part of the thigh reads 165 F, about 1 to 1 1/2 hours.
Remove from the oven.
Transfer the chicken to serving platter.
Stir vegetables to coat with pan juice. (Discard bay leaves before serving). Place the vegetables around the chicken, or in a separate vessel.