homework help: Err can anyone help me with my maths question: - Help.com

Err can anyone help me with my maths question:

differentiate (x^1/2) (1+x^1/2)^-1

Would be helpful if you post the solution as well!

Cheers guys

This open post was written 1 year ago | V/U/S: 267, 7, 4 | Edit Post | Leave a reply | Report Post


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mathematics, Cheers, Solution, question, Helpfulness, differentiation, homework (How Tags Affect Reciprocity)

Replies (7)

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danielleatk offline Unverified User #
An Unknown Location | 1 year ago (12 minutes after post)

well what is the solution for x?

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gogle7828 offline Verified User (1 year) Long Term User Shouts: 0 #
An Unknown Location | 1 year ago (14 minutes after post)

Errrm x is just an unknown quantity, sorry not sure what you mean?

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yrnam offline Unverified User #
An Unknown Location | 1 year ago (16 minutes after post)

differentiate using the product rule maybe?
let (x^1/2) = u and (1+x^1/2)^-1 = v
then do v(du/dx) + u(dv/dx)

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danielleatk offline Unverified User #
An Unknown Location | 1 year ago (18 minutes after post)

im learnin that in school but we didnt get that far sorry

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gogle7828 offline Verified User (1 year) Long Term User Shouts: 0 #
An Unknown Location | 1 year ago (44 minutes after post)

yeah I tried the product rule, all I got was gibberish same with the quotient rule.
It’s a online multiple choice question the answer is one of:

a)1 b) 1/ 2x^1/2 (1+x) c) 1/ 2x^1/2 (1+x)^2 d) 1+2X^1/2 / 2x^1/2 (1+x^1/2)^2

So far I’ve got no where near these and have spent 6 sides of A4 :(

Lol cheers for trying dani, something for you to look forward to I guess.
I hate maths so much.

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gogle7828 changed the tags on this post: they were "mathematics, Cheers, Solution, question, Helpfulness, guy, post, differentiation, Err" 1 year ago.

Creal Default offline Verified User (2 years, 12 months) Long Term User Shouts: 2 #
Houston, TX, US | 1 year ago (5 hours, 4 minutes after post)

Yeah this one is pretty messy and ultimatley I couldn’t figure it out. I hate giving just the answer, but I’ve spent over half an hour on this: I entered the function at this website: http://wims.unice.fr/wims/wims.cgi?mo… and got:
1/(2x - x^(1/2)) - 1/(2(x^(1/2)+1)^2)
Which I don’t see quite lining up with any of the given choices. But I plugged in a value for each choice, and choice ‘d’ is correct. I also tried the quotient rule and the product rule, but didn’t have any luck.

(x^1/2) (1+x^1/2)^-1
Is the same as:
(x^1/2)/(1+x^1/2)

Using the quotient rule with (f’(x)*g(x) - g’(x)*f(x))/(g(x))^2:
(.5*x^(-1/2)(1+x^(1/2)) - .5*x^(-1/2)*x^(1/2)) / (x +2x^(1/2) + 1)
Even though this looks right to me, it’s not. I’m not exactly sure why, but it doesn’t.

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