I'm curious how the derivative of a complex function can be represented visually. It is defined as the limit of (f(z[itex]_{0}[/itex] + Δz) - f(z[itex]_{0}[/itex]) / Δz as Δz approaches 0. Is it right to say that f(z[itex]_{0}[/itex] + Δz) represents a neighborhood of radius Δz around z[itex]_{0}[/itex] in this case? Does the derivative still represent instantaneous change as in real functions?(adsbygoogle = window.adsbygoogle || []).push({});

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# Visually Representing Complex Derivatives

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