[jhart99]

Seems a little much for a regular calculus class. Wouldn't that fit better in a complex analysis class?

[jetunsaure]

No, this would be a good exercise for first-year calculus. It's a very reasonable question, nothing out of the ordinary.

[KMag]

In fact, I was taught the graphical intuition via a few days of these sorts of exercises, before being introduced to the formulas. It worked really well, at least for 9th grade students in an acceleration program at the University of Minnesota (UMTYMP).