If the topical compositions are intended to be applied to and left on the skin an amount of about 0.0005 to 10 wt.%,
preferably an amount from about 0.001 to 3 wt.%,
most preferably from about 0.001 to 1 wt.%
of an
astaxanthin derivative is used based on the total weight of the composition.
If the astaxanthin derivative is to be used in a compositions intended