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March 29, 2024, 04:36:33 pm

Author Topic: Mathematics Question Thread  (Read 1297048 times)  Share 

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conic curve

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Re: Mathematics Question Thread
« Reply #300 on: August 09, 2016, 10:58:46 am »
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How do I differentiate each function with respect to x?


jakesilove

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Re: Mathematics Question Thread
« Reply #301 on: August 09, 2016, 11:24:45 am »
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How do I differentiate each function with respect to x?

Far out buddy, those are some killer questions. Still, both are simple applications of the Chain rule: I'll only do the second, because it is substantially harder, and understanding it should let you differentiate the first one.

We want to differentiate



Now, we know that if




So, for the question above, we have to let



At first, I was thinking we needed to do two iterations of the Chain rule. But, since it's only raised to the power of 2, let's just expand it. This will make the solution much easier to come to; if you had a power higher than 2, you would have to chain rule again.




So, for the entire thing,

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Jakeybaby

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Re: Mathematics Question Thread
« Reply #302 on: August 09, 2016, 07:19:39 pm »
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Sorry, but I haven't become familiar with LaTeX yet, but I will do soon.

Could someone assist me with the integral of (e2x-1 +3)2 dx?

Thankyou
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RuiAce

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Re: Mathematics Question Thread
« Reply #303 on: August 09, 2016, 07:43:05 pm »
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Sorry, but I haven't become familiar with LaTeX yet, but I will do soon.

Could someone assist me with the integral of (e2x-1 +3)2 dx?

Thankyou


Jakeybaby

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Re: Mathematics Question Thread
« Reply #304 on: August 09, 2016, 07:58:33 pm »
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Alright, did it a different way, would you always recommend expanding?
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RuiAce

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Re: Mathematics Question Thread
« Reply #305 on: August 09, 2016, 08:04:52 pm »
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Alright, did it a different way, would you always recommend expanding?

conic curve

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Re: Mathematics Question Thread
« Reply #306 on: August 10, 2016, 01:18:10 pm »
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How do I find the deriative of the following?


jakesilove

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Re: Mathematics Question Thread
« Reply #307 on: August 10, 2016, 01:46:33 pm »
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How do I find the deriative of the following?

Hey Conic,

A lot of your questions appear to be fairly normal applications of the Chain Rule, Product rule or Quotient rule. The rules are described below.



I don't think that it is very helpful if we just keep answering your questions, because that doesn't seem to be helping you very much. Rather, I think I would prefer if you post up your attempt at a solution, so that we can correct you and help you as you go. My main advice is to (for product/quotient) identify u, v, u' and v', write it all down then simply apply the formula. Give these questions a go; will be happy to help once I can see that you've made an attempt!
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jamonwindeyer

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Re: Mathematics Question Thread
« Reply #308 on: August 10, 2016, 01:49:32 pm »
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How do I find the deriative of the following?

Hey conic! To show you what Jake means, if you do the derivatives separately like so:



Note that u' in the question above was obtained with the chain rule! Pull the power out the front, subtract one from the power, the multiply by the derivative of the inside. You then literally sub this into the chain rule formula:



If you try breaking your big problems down into smaller ones, they will become much easier ;D as Jake said feel free to come back to us with your working if it isn't quite coming together and we can help you figure out what went wrong!



RuiAce

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Re: Mathematics Question Thread
« Reply #309 on: August 10, 2016, 02:20:37 pm »
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Hey Conic,

A lot of your questions appear to be fairly normal applications of the Chain Rule, Product rule or Quotient rule. The rules are described below.

(Image removed from quote.)

I don't think that it is very helpful if we just keep answering your questions, because that doesn't seem to be helping you very much. Rather, I think I would prefer if you post up your attempt at a solution, so that we can correct you and help you as you go. My main advice is to (for product/quotient) identify u, v, u' and v', write it all down then simply apply the formula. Give these questions a go; will be happy to help once I can see that you've made an attempt!
This.

And I also feel that in the previous accounts you've posted up a solution, most of the mistakes were in algebraic manipulation, not the actual computation. You should put more emphasis on the basics because your grasp over the advanced concepts is superior to those as evidenced.
« Last Edit: August 10, 2016, 02:23:05 pm by RuiAce »

conic curve

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Re: Mathematics Question Thread
« Reply #310 on: August 10, 2016, 04:15:26 pm »
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RuiAce

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« Last Edit: August 10, 2016, 04:44:13 pm by RuiAce »

conic curve

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Re: Mathematics Question Thread
« Reply #312 on: August 10, 2016, 05:35:29 pm »
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Oh yeah I was meant to use the product rule. Apologies.

Anyways here is my working to the question

Spoiler



Someone please correct me if I am wrong

Moderator edit: Put images in spoiler
« Last Edit: August 10, 2016, 05:37:12 pm by Aaron »

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Re: Mathematics Question Thread
« Reply #313 on: August 10, 2016, 06:46:00 pm »
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Oh yeah I was meant to use the product rule. Apologies.

Anyways here is my working to the question

Spoiler



Someone please correct me if I am wrong

Moderator edit: Put images in spoiler
Here's my feedback:

In lines 2 and 3 you quoted the product rule correctly

In line 4, suddenly all the x's turned into u's. Please fix this. (There are several instances where this occurs)

In line 6, your derivatives are correct.

In lines 7 and 8, your substitution is correct

In line 9, your factorisation is correct. However you can go (at least one step) further.

__________________________

Once again, too many of those x's look like u's.

Your answer is certainly correct according to WolframAlpha

Except they factorised the 4 out.

olivercutbill

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Re: Mathematics Question Thread
« Reply #314 on: August 13, 2016, 04:39:01 pm »
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Hey guys-

Can anyone help me understand this question?

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