Carrick insists it is key to keep winning such headline-grabbing encounters.
"Especially against your rivals – the likes of Liverpool and Chelsea, Arsenal next week – it's important you take points off them," said the midfielder.
"That's why it was important and next week is just as important. It's a good start to the season. We've obviously had a couple of defeats but we've bounced back and we're still in a good position, so we can be happy."