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Offline Arsenal 10

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I need help with calculus
« on: July 23, 2010, 03:30:42 am »
I can manage with most things, but seeing as calculus really isn't my strong point, I need some help.

So yeah, if someone could tell me how to work out the partial derivitives of the following function:

S = (16000-800P)A0.5R0.5

I need to know:

dS/dR =
dS/dA =
dS/dP =

How do I do it?
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Offline Thunder Strike

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Re: I need help with calculus
« Reply #1 on: July 23, 2010, 04:13:02 am »
Florida.

Also I think CI studies this kind stuff so flick him the question.
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Offline Arsenal 10

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Re: I need help with calculus
« Reply #2 on: July 23, 2010, 05:48:02 am »
Ah ok, I'll send him a PM.
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Chillaxin since 3/23/2008

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Offline Jenne

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Re: I need help with calculus
« Reply #3 on: July 23, 2010, 07:23:26 am »
Man, it's been a long time since I did this.  I am inclined to tell you that the simplest approach is right, but I don't remember for sure.   

Basically, any term not related to the term you are taking the derivative of is treated as a constant.  So, iirc:

S = (16000-800P)A0.5R0.5

I need to know:

dS/dR = -0.5(16000-800P)A0.5R-0.5
dS/dA = -0.5(16000-800P)A-0.5R0.5
dS/dP = -800A0.5R0.5

But like I said, it's been a very long time.
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Offline Arsenal 10

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Re: I need help with calculus
« Reply #4 on: July 23, 2010, 06:50:45 pm »
Thanks for the help, though I don't think that is right.

I'm not sure if I need to use the product rule or something.
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Offline Shadow

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Re: I need help with calculus
« Reply #5 on: July 23, 2010, 07:47:43 pm »
Don't have time to try and work them out manually right now but these may help a tiny bit:
dS/dR = Click Here
dS/dA = Click Here
dS/dP = Click Here
« Last Edit: July 23, 2010, 07:50:12 pm by Shadow »
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Offline Arsenal 10

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Re: I need help with calculus
« Reply #6 on: July 23, 2010, 09:21:04 pm »
Oh dear..

My mind struggles to keep up with that.



I don't know why the A'(R) and P'(R) are there..

In fact, I can't follow that at all. I hate calculus.
« Last Edit: July 23, 2010, 09:26:51 pm by Arsenal 10 »
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Chillaxin since 3/23/2008

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Offline Jenne

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Re: I need help with calculus
« Reply #7 on: July 23, 2010, 10:30:01 pm »
They are not assuming the others are constant, but rather assuming that they could be a function of R. 

Like I said, it's been forever. 
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Offline Arsenal 10

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Re: I need help with calculus
« Reply #8 on: July 23, 2010, 11:06:51 pm »
Oh right.

dS/dR = 0.5(16000-800P)A0.5R-0.5
dS/dA = 0.5(16000-800P)A-0.5R0.5
dS/dP = -800A0.5R0.5

Jenne, you meant your answers to be this right? As in without the negative at the front. Because when you bring down the 0.5, it was positive.

Because on second thought, I think this may be it. I can't imagine it is as hard as that calculator thing says, it shouldn't be anyway.
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Chillaxin since 3/23/2008

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Offline Arsenal 10

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Re: I need help with calculus
« Reply #9 on: July 24, 2010, 05:25:38 am »
Ok, I'm pretty sure I have the answers I'm looking for.

Thanks.
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Chillaxin since 3/23/2008

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Offline Jenne

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Re: I need help with calculus
« Reply #10 on: July 24, 2010, 06:21:28 am »
Quote from: Arsenal 10 on July 23, 2010, 11:06:51 pm
Oh right.

dS/dR = 0.5(16000-800P)A0.5R-0.5
dS/dA = 0.5(16000-800P)A-0.5R0.5
dS/dP = -800A0.5R0.5

Jenne, you meant your answers to be this right? As in without the negative at the front. Because when you bring down the 0.5, it was positive.

Because on second thought, I think this may be it. I can't imagine it is as hard as that calculator thing says, it shouldn't be anyway.
yeah, that is what I meant, though I would tend to agree with the calculator.  Wolfram is pretty good.  I used their site to check my stuff a lot in college.  Of course, we did a lot of work it Mathmatica, so it made sense to use them. 
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Offline undiscoveredbum

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Re: I need help with calculus
« Reply #11 on: July 24, 2010, 03:09:00 pm »
what the fuck does any of that mean?

Jesus, I was taking college level algebra in high school, now I can't even remember how to do long division. >_>
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Re: I need help with calculus
« Reply #12 on: July 24, 2010, 04:48:01 pm »
Arse...i can do that, ci and i both have an interest in calculus...that's about the only thing i used to like about grade 12 math, so i did it even after school, just for kicks.
If you need more help in calculus, pm me if ci isn't there.
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Offline Arsenal 10

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Re: I need help with calculus
« Reply #13 on: July 24, 2010, 09:20:06 pm »
Quote from: G-zom on July 24, 2010, 04:48:01 pm
Arse...i can do that, ci and i both have an interest in calculus...that's about the only thing i used to like about grade 12 math, so i did it even after school, just for kicks.
If you need more help in calculus, pm me if ci isn't there.
Oh cool. I did send CI a PM.. But thanks, I'll probably use you :P
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Offline crazyisraelie

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Re: I need help with calculus
« Reply #14 on: July 25, 2010, 01:49:27 am »
Sorry I should probably respond to this now. I was going to post something the morning after you send me the message, but Jenne already posted the right answers.

I think you need to go back over your old calculus 1 material. Most of calculus 3 is teaching calculus 1 in more than one variable.
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Offline error

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Re: I need help with calculus
« Reply #15 on: July 27, 2010, 06:06:04 pm »
Oh, my father is an accountant... so... uh... that means nothing.

I'm like, math illiterate or something.
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