Higher derivatives of an inverse function

I learned something beautiful today and just wanted to share it. Obviously, this blog is super eclectic, with tons of posts on science and math and art and life, with no particular order. Maybe someday I’ll organize it. This a pretty basic calculus trick. In fact, I wouldn’t be surprised if I’d come across it in high school and just forgot it. But today it came up in my research, and I had to…