Figure out in the sense of work out the updates, particularly for f:R -> R, if you already understand NR? That's totally doable in 5 minutes with paper; it's just figuring out an x intercept. And remembering/finding f such that f(sqrt(2)) = 0
I've also been asked, in person, the derivative of x^x. Hope you remember logarithmic differentiation! It's not like, had you happened to not have used this trick for a derivative in the last 10+ years, you could look up and recall in 5 minutes given you understand chain rule. I remembered it, but what kind of filter is this?