Question by Scythian1950: What’s the geometrical interpretation of the derivative of a complex function?
The geometrical interpretation of the derivative of a real function is simply the slope of the line tangent to the function at that point. What about complex functions?
Uh, functions of a complex variables, okay? F(z), where z is the complex number x + iy.

Best answer:

Answer by its_victoria08
Complex functions being composite functions?

If so, where there are multiple functions of defined intervals, then it’s the same. The derivative is the slope of any given ‘piece’ at a point. To know which ‘piece’ to use, you look at the intervals given in the composite function. Wherever your point fits in, that’s the function you use to find derivative of.

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