Hello again,

I am trying but it is really hard learning this stuff on your own. Never gonna take a calc course online again :\.

This it he question, I am currently stuck on.

Where is the function $\displaystyle f(z)=e^(^x^^^2^-^y^^^2^) * [cos(2xy) + isin(2xy)] $ analytic?

For now could someone just help me with the derivative? I am in the process of figuring out Couchy-Rieman equations.

Is the derivative only present if $\displaystyle \partial$u/$\displaystyle \partial$x = $\displaystyle \partial$v/$\displaystyle \partial$y?

just for my understanding in the equation $\displaystyle 1+iy$ there is no derivative because $\displaystyle \partial$u/$\displaystyle \partial$x = 0 and $\displaystyle \partial$v/$\displaystyle \partial$y = 1?

Thanks

Rioch