Complex Derivative

This page is a sub-page of our page on Infinitesimal Calculus of One Complex Variable.

///////

Related sources of information:

The Cauchy-Riemann equations

///////

The derivative of f(z) = z^2 :

///////

The derivative of f(z) = sin(z) :

///////
///////

Affine approximation of \, f(F(x,y), G(x,y)) \,
where \, F(x, y) = x^2 - y^2 \, , \, G(x, y) = 2 x y \,

Affine approximation (z^2)

Affine approximation (z^2 confocal parabolas)

///////

Affine approximation \, f(x,y) = x^2 - y^2 \, , \, g(x,y) = 2xy \, :

///////
///////

Affine approximation [ x'= x^2 - y^2 , y'= 2xy ] :

///////

Divergence and curl: The language of Maxwell’s equations, fluid flow, and more (3Blue1Brown on YouTube):

///////

Leave a Reply