The phrase "minute detail" refers to a very small or subtle aspect of something, often overlooked or ignored. It is a precise and careful attention to even the smallest aspects of something, in order to gain a full understanding.
In this mode, the camera predicts moving objects and focuses on them with extreme efficiency to capture minute details of objects in motion. (consumer.huawei.com)
Then, they go on for three more pages explaining in minute detail what material participation means. (creatingapassiveincome.com)
This direct will likely be rather short, probably 8 - 15 minutes in length, and give us some last minute details on the upcoming game. (nintendocastle.com)