Okay it is basically common knowledge that the world has different races and that we refer to 4 of these races via derogatory terms (albeit some a bit arguable but why do it even it is only possible) those names being Half-Orc, Half-Elf, Half-Ling and Dwarf. Now the first to are definitely 100% human based derogatory terms for someone that is a "Half-Breed" also a derogatory term. Further it is obvious that they are human derogatory terms because they denote the race as being half-not human while an Orc or an Elf would most likely refer to their respective half-race derogatorily as Half-Human. That is perhaps the most blatant. The next Half-ling is that really a race name or is it a derogatory term referencing the races diminutive height -- I am going with 75% that this is a derogatory term as D&D actually at one time called the race Hin. It is perhaps commonly accepted because that is what J. R. Tolkien called them but that does not necessarily mean that he did not inadvertently create a racist term. The last which I am on the fence a bit more about is Dwarf I call this one 50% racist as the Norse had that term and they were highly respected so not a derogatory term in their eyes but for nearly every other race it was a reference to a group of humans by a name that denoted they were different and less. Then again J.R. Tolkien referred to them as such. Now before anyone gets their knickers in a bunch I am not saying this was done overtly on purpose to me it is just another case for that laziness that I spoke about before and J.R. Tolkien was simply a man of his time and we all know -- times the are a changin'.
Personally I do not have any of those 4 seemingly derogatory names as the names for those races mine (in order stated above) Urug, fFolk, Hin, and Khuzdul -- now my world does have the derogatory terms but you use that for one of these races be prepared to be corrected and/or shunned for being a bigot.