Difficult vector differentiation

KarimAzer · 2011-10-14 01:41:11

End of chapter work,

KarimAzer · 2011-10-14 01:44:17

End of chapter work,

I need to find the first order condition of the equation

So I do d/db; but I really don't know how to do this on a vector which has so many expressions with it. Can someone help me through it?

The answer is;

which is completely off what I got, I really don't know how to even go about this problem. Thanks.

bobbym · 2011-10-14 02:01:14

Hi KarimAzer;

The book answer is correct only for y = 1. What did you get? Did you copy correctly?

KarimAzer · 2011-10-14 03:00:04

bobbym wrote:

Hi KarimAzer;
The book answer is correct only for y = 1. What did you get? Did you copy correctly?

Hello!

It's copied down correctly, I just checked twice to make sure. After it has that answer, it equates it to 0n and simplifies it a little more.

It's really general, for example, differentiating

with respect to b in my head gives

I don't know why the answer transposes that whole expression?

Also, no idea how it transposes

into

I tried inputting a few simple examples and doing it the reallllly long way and couldn't do it either, and it seems they're not looking for me to multiply it out etc, it should be do-able from the initial equation.

Thanks for taking a look at it Bobby

KarimAzer · 2011-10-14 03:01:02

EDIT**

It's really general, for example, differentiating

with respect to b in my mind gives

bobbym · 2011-10-14 05:24:09

Hi;

That's what it means to me also.

it equates it to 0n

I am not following that.

KarimAzer · 2011-10-15 00:03:03

Hello!

Sorry, I got a bit ahead of myself. After reaching the differentiation, (I still can't do it, tried a lot more this morning), then because we're trying to FOC it just equates it to the vector 0n, and then eliminates the '2s'.

But I can't even get to that stage so I don't know why I posted it, sorry for the confusion,

bobbym · 2011-10-15 00:17:37

Hi;

Did you try this term by term:

What did you get for this?

Math Is Fun Forum

#1 2011-10-14 01:41:11

Difficult vector differentiation

#2 2011-10-14 01:44:17

Re: Difficult vector differentiation

#3 2011-10-14 02:01:14

Re: Difficult vector differentiation

#4 2011-10-14 03:00:04

Re: Difficult vector differentiation

#5 2011-10-14 03:01:02

Re: Difficult vector differentiation

#6 2011-10-14 05:24:09

Re: Difficult vector differentiation

#7 2011-10-15 00:03:03

Re: Difficult vector differentiation

#8 2011-10-15 00:17:37

Re: Difficult vector differentiation

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