Math Is Fun Forum

Hixy

Member

Registered: 2011-09-24

Posts: 15

Differentiation of a complex function

Given the function

with

Find the real function g(t) and imaginary function h(t) of f(t).

My solution:

Is this correct?

2nd question:
Find

.

My solution:

or

You guys agree? I'm mostly in trouble with the first part. Note that the vector line is just the sign of the complex conjugate, didn't know how to make it just a line.

Last edited by Hixy (2011-09-26 10:52:27)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,149

Re: Differentiation of a complex function

hi Hixy,

I assuming c = a + bi and c(bar) = a - bi

so that makes

and

I think that's correct.  Hopefully someone else will jump in with a second opinion. 

Bob

Last edited by Bob (2011-09-26 10:39:46)

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Hixy

Member

Registered: 2011-09-24

Posts: 15

Re: Differentiation of a complex function

Thanks for joining in, Bob! That looks awesome.

Note that

Sorry for not mentioning that earlier!

Last edited by Hixy (2011-09-26 10:51:48)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,149

Re: Differentiation of a complex function

Hi

Not a problem as it takes the same time to type a '3' as to type 'a'.

The nasty bit is all those brackets.

It's gone midnight now in the UK so I'm off to bed. 

Bob

Last edited by Bob (2011-09-26 11:23:15)

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Hixy

Member

Registered: 2011-09-24

Posts: 15

Re: Differentiation of a complex function

Seemed to work out. Thanks, Bob! I really appreciate it. I can usually solve the problems, but sometimes it's good with a little confirmation that I've done it right, or getting a hint or seeing the proper solution This really, really helps, especially because I don't have many other clever heads to discuss the problems with.

Thanks again!