I?ll echo the welcome, and take you back a level or two towards the basics. In order to ?derate,? you need to know what the ?rate? is all about. Start with the article 100 definition of ?ampacity.? It has to do with the amount of current a particular wire can handle, under its ?conditions of use.? A wire?s current rating is essentially based on the ability of its insulation to withstand heat. Heat comes from three places: (1) The surrounding ambient conditions, (2) Heat generated within the wire due to current passing through the wire, and (3) Heat generated by other wires in the same raceway. Some wires can handle more heat than others. That is why Table 310.16 has three columns, for insulation systems rated 60C, 75C, and 90C.
Please note that at the top of that table, it says that it applies to an ambient temperature of 30C, and to a maximum of three current-carrying conductors in the same raceway. You have to derate (i.e., reduce the ampacity of) a wire, if you don?t meet those two conditions. Others have already described the process of performing the derate calculations.