It is forbidden to derive “hanaah” from a mixture of Basar ViChalav. I dont think too many shampoos fall into this category, but, quite a few years ago there was a shampoo that contained yogurt and it also contained (as do many shampoos) some form of animal derivative that was deemed halachicly “basar”.
From that aspect, one would wish to know what his/her shampoo contained.