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Second, suppose there is a term like \del_m(1/ \sqrt{1-g^{ab}T,aT,b}). Will I have have to replace the ordinary derivatives in the denominator also in this case?

I have these doubts. Can anybody clear these? Also I am not sure if this is the best place to ask such questions, just trying since I am trying to learn things alone. Are there other websites where one can ask such questions and get help? Thanks.