Complex Derivative Visualizer: Rectangular Grid Plot

Explore the role of a complex derivative as an amount of "twist" (rotation and dilation) created by the function \(f\) around the point \(f(z)\).

Enter your function here:
\(f(z)= \)  →   → 
\(r \in\) [0,]   \(r\) scale   

Orange circle around \(z\) with radius \(h\).

Orange circle is image under \(f\) of original orange circle.
Green circle is approximation with derivative using \(f(z+h) \approx z+hf'(z)\).
\(\leadsto\)




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