Derivatives of a Complex Function
Sliding into discovery
Recall that and are defined as follows:
In order to make the technology fit the idea, denote as , as . Let represent the partial derivative of with respect to , and let represent the partial of with respect to for the complex number . Go ahead and move the sliders for and . There are two distinct shapes that occur if you move each slider separately. One is a parabola and the other is a line. Make conjectures on why this is happening.