I received Taxol as part of my chemotherapy treatment. My oncologist recommended that I soaked my nails in vinegar and water daily. I used equal parts vinegar and water. I also was not allowed to get a manicure or pedicure due to possible infection of my nails. I did not have any problems with my fingernails falling off from Taxol.
(I do not have a medical background, this post was written based on personal experience. Anchored in Hope is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to amazon.com.)