Not that it’s important, but I just spent most of the past two hours taking the derivative of the expression returned by the Wolfram site — after having blundered for one of the subexpressions, wasting a lot of paper and time, and needing to backtrack.
I’ve done such exercises in the past, so I wasn’t too surprised when it all worked out. Still, it’s nifty how this large expression expands into a huge expression, then almost completely wipes itself out, distilling down to a simple sqrt(tan(x)) in the end.
Kind of like a good movie, only a lot cheaper to produce. Perhaps I’m easily entertained.