Complex Function Viewer

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1. Use the mouse pointer to move the small square grid around. It represents a neighborhood of a point in the domain. The twisted grid represents the image of the square grid.

2. Click checkbox "Derivative", use the mouse pointer to move z (blue) around.
Black dot represents an initial value z0 (by clicking on the "choose z0" button you can change the value of z0)
Blue dot represents the value z (change it by dragging it) --> blue line between z0 and z represents (z-z0)
Black Arrow (initially not seeable) represents a vector containing values of f(z0)
Red Arrow represents a vector containing the values of the complex derivative of f(z0)
Blue Arrow (moveable by changing the value for z) represents an approximation for f(z) ((z-z0)*f'(z0)), getting closer to z0 increases the accuracy of the approximation.