Step 1

Put the carrots in an 8-inch-wide, 3- to 4-quart saucepan and arrange snugly. Add the butter, sugar, 1/2 tsp. salt, and enough water to just cover the carrots (about 2 cups). Bring to a boil over high heat.

Step 2

Cook over high heat, shaking the pan occasionally, until the liquid has reduced to a syrupy glaze and the carrots are tender, about 10 minutes. (If the glaze is done before the carrots, add about 1/2 cup water and continue to cook. If the carrots are done first, remove them and continue to boil the liquid until syrupy.)

Step 3

Lower the heat to medium low, add the tarragon, and toss to combine. Season to taste with salt and serve. (The glazed carrots can be kept warm, covered, for about 20 minutes.)