- #1
gauss mouse
- 28
- 0
Hi, I wonder if anyone knows when (maybe always?) it is true that, where
[itex]z=x+iy \text{ and } f : \mathbb{C} \to \mathbb{C} \text{ is expressed as } f=u+iv, \text{ that }
f'(z)=\frac{\partial u}{\partial x}+i\frac{\partial v}{\partial x}?
[/itex]
I'm pretty sure that this is true for [itex]f=exp.[/itex]
I should be able to find this but searching google for mathematics is a nightmare.
[itex]z=x+iy \text{ and } f : \mathbb{C} \to \mathbb{C} \text{ is expressed as } f=u+iv, \text{ that }
f'(z)=\frac{\partial u}{\partial x}+i\frac{\partial v}{\partial x}?
[/itex]
I'm pretty sure that this is true for [itex]f=exp.[/itex]
I should be able to find this but searching google for mathematics is a nightmare.