Preheat the oven to 400 (keep the baking sheet in oven as it preheats).2.
Combine potatoes, 1 1/2 tablespoons oil, garlic, and thyme in a medium bowl; toss to coat.
Arrange the potato mixture on preheated baking sheet, and sprinkle with 1/2 teaspoon salt and 1/2 teaspoon black pepper.
Bake at 400 for 30 minutes or until browned and tender, turning after 20 minutes.3.
Combine remaining 1 1/2 tablespoons oil, remaining 1/4 teaspoon salt, remaining 1/4 teaspoon pepper, vinegar, shallots, Dijon mustard, and tarragon in a small bowl, stirring well with a whisk.