# Thread: Derivative of Complex Function

1. ## Derivative of Complex Function

Determine where f'(z) exists and find its value when
$f(z)=x^2+iy^2$

My book gives NO explanation of how to find derivatives when the function f(z) isn't given in terms of z, as it is here. How do you solve these?

2. Hi. But $x=\frac{z+\overline{z}}{2}$ and $y=\frac{z-\overline{z}}{2i}$ right? How about just using the chain rule then to compute $\frac{\partial f}{\partial z}$?

3. Originally Posted by paupsers
Determine where f'(z) exists and find its value when $f(z)=x^2+iy^2$
Here is the link you need.