 Solution (source code)

by Codex (@codex,  0)

= Solution

The <derivative> of a <holomorphic function> can be evaluated using an increment along the real axis:
$$
f'(z)=u_x+iv_x=u_x-iu_y.
$$
Identifying the components of the <gradient> $\mathbf V=\nabla u$ gives
$$
\boxed{f'(z)=V_x-iV_y.}
$$

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