It may be "Hand and foot syndrome" Palmar Plantar Erthrpydysesthersea. It can happen with chemo, and did to me from the same infuction chemo...Cisplatin, Taxotere and 5-FU. Look this up, in addition to seeing your doctor, and you will find lots of info, and things to do.

I lost all my fingernails, and toenails too, but they t grew back after several months. Toenails took longer. I still have problems with them easily tearing, breaking, uneven growth.

10/09 T1N2bM0 Tonsil
11/09 Taxo Cisp 5-FU, 6 Months Hosp
01/11 35 IMRT 70Gy 7 Wks
06/11 30 HBO
08/11 RND PNI
06/12 SND PNI LVI
08/12 RND Pec Flap IORT 12 Gy
10/12 25 IMRT 50Gy 6 Wks Taxo Erbitux
10/13 SND
10/13 TBO/Angiograph
10/13 RND Carotid Remove IORT 10Gy PNI
12/13 25 Protons 50Gy 6 Wks Carbo
11/14 All Teeth Extract 30 HBO
03/15 Sequestromy Buccal Flap ORN
09/16 Mandibulectomy Fib Flap Sternotomy
04/17 Regraft hypergranulation Donor Site
06/17 Heart Attack Stent
02/19 Finally Cancer Free Took 10 yrs