I'm just about ready to beat my head on the nearest wall. It has to do with that Schwarzian derivative I mentioned earlier. Here's the problem. I'm supposed to show that there's a certain 'chain rule' for it. That is, assign

{g(w), z} = (f'(z))^2 * {g(w), w} + {f(z), z}

The problem is that I can't for the life of me show that to be true. I just get lost in an endless swamp of algebra and calculus, and never really come out. Normally, I'd just blame myself for my ineptness. There is, however, a small chance that the above equation actually isn't quite right - there might be a typo. I've found a couple of places that give something that looks a lot like it, but with one (1) extra parenthesis. So those sources **definitely** have typos. But the question is, did they want to have a couple of extra parentheses, or none? I'm confused. What's even worse is that I can show something *almost*, but not quite, like the given formula. Aarrrrrrgh.

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