I have the Fourth Edition of Introduction to Electrodynamics by David J. Griffiths, published by Pearson.
I have found this erratum in Chapter 5 Magnetostatics, page 234 .
We can see that "Product rule number 6" is written and no asterisk or dagger is there, so I looked in Chapter 1 and found this on page 21
The "rule" which he is using is actually rule number 4.
I have seen the list of errata in the official site but couldn't find it.