Derivative of a Complex Function: Finding f'(1 + i)

[nickolas2730]

1. Let f(z) = (3e^2z−ie^-z)/(z²−1+i) . Find f′(1 + i).


3. Should I sub (1+i) to z and then diff it by i.
Or i need to diff it by z first then sub (1+i) in it at last?

Thanks

 

[I like Serena]

Welcome to PF, nickolas2730!

You need to diff it by z first then sub (1+i) in it at last.

Btw, you can't diff by "i". It is not a variable but a constant.

 

[nickolas2730]

thank you so much!