For this equation?
t' = γ(t - vx/c^2)
If so, neither is the correct derivative since v appears in γ. In any case, since X is also a variable, I would suggest a partial derivative is more appropriate.
Yes. You are right and I was wrong. Neither can be correct.
Yes again. You are right and Wogoga was wrong.The partial derivative is more appropriate in this case. Wogoga used a full derivative where he should have used a partial derivative.
BTW: I may have been wrong in another way. I am not sure that Wogoga posted on the Antirelativity Forum. I may have gotten him and Cryptic mixed up.