Well I figured out how to prove (f+g)' = f' + g'
But what do I need to do to show this is analytic?
Let f and g be ananlytic on a domain. Show that:
f + g is analytic on D and (f + g)' = f' + g'
I also have to do this for fg and f/g. Can someone show how to do the above, so I can attempt fg and f/g on my one?
Thanks in advance for any help...