Preheat the oven to 350°.
Add 1 tablespoon of the butter to a large microwave-safe bowl.
Cook in the microwave for 20 seconds or until the butter is melted.
Add the olive oil and all of the seasonings to the melted butter.
Stir the butter mixture until evenly combined.
Add the carrots to the butter mixture, and toss well.
Rub a large baking sheet with the remaining tablespoon of butter.
If there's any butter left, place it around the pan.
Add the carrots to the baking sheet, and spread them in a single layer.
Add one quarter cup of water to the baking pan.
Cover the baking sheet tightly with foil.
Bake the carrots for 20 minutes.
After 20 minutes, remove the pan from the oven, and increase the heat to 425°F.
Uncover the carrots and stir them around. Redistribute in an even layer.
Place the carrots back in the oven.
Bake for 10 to 15 minutes or until tender and lightly browned.
Remove from the oven and adjust the salt.