Another Complex Function
Sliding into discovery
In order to make the technology fit the idea, we had to name x as X, y as Y, u' is the partial derivative of f with respect to x, and v' is the partial of f with respect to y for the complex number z=x+y*i.
Go ahead and move the sliders for X and Y. There are two distinct shapes that occur if you move each slider separately. One is a parabola and the other is a line. Why does this happen? Note that u and v are defined as follows:
and 