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to ask for help with some maths homework?

38 replies

ChunkysMum · 06/06/2012 17:37

Differentiate the following wrt x1 and x2:

f=-(1-t^2)/(x1+x2t)

OP posts:
DreamingofSummer · 06/06/2012 18:19

If A and B are constants, no you can't differentiate with respect to them.

Mandy2003 · 06/06/2012 18:21

[Weeps]

ChunkysMum · 06/06/2012 19:57

Sorry, need a bit more help (thanks so far), apparently:

T is a constant, well it's 'time' so we need to solve this at each time step, but it's a known variable.

Any help much appreciated.

OP posts:
chinam · 06/06/2012 20:06

I am well Envy of any of you who have the slightest idea what this is about. Runs off to join the other dunces.

FiddleDeFat · 06/06/2012 20:15

this might help.

fedupofnamechanging · 06/06/2012 20:32

No help with the maths, but there's a good Carol Vorderman book which is for helping your kids with maths, which is very good and very simple to understand. It's about £9 or £10 on Amazon.

kirsty75005 · 06/06/2012 20:42

I assume you mean partial differentiation with respect to the two variables x1 and x2, t being considered as a constant?

If so,

df/dx1= (1-t2)/(x1+x2t)2

df/dx2= t(1-t2)/(x1+x2t)2

I can talk you through it if you like.

wanderingalbatross · 06/06/2012 20:44

Let y = (a+bt)

So now
dy/da = 1
dy/db = t

Substitute y into original
f = -(1-t2)(y)(-1)

df/dy = -(1-t2) (-1)(y)(-2)
= (1-t2) / y2
= (1-t2) / (a + bt)2

Now use chain rule
df/da = df/dy . dy/da
= (1-t2) / (a + bt)2

and

df/db = df/dy . dy/da
= t (1-t2) / (a + bt)2

wanderingalbatross · 06/06/2012 20:46

Ooops, xposted with Kirsty. Glad to see we got the same answer! :)

kirsty75005 · 06/06/2012 20:50

Me too !

I should mention a slight misuse of notation in what I wrote : partial differentiation is denoted by making the "d"s in df/dx1 round and curly.

Mumsnet still doesn't do WYSIWYG LaTeX though, so I couldn't type it .

LeeCoakley · 06/06/2012 21:12

Ah HA! You had me going for a minute but now I realise it's Mornington Crescent (Maths version) Grin

ImperialBlether · 06/06/2012 21:14

I was going to answer this, honest, but saw it was already done.

ChunkysMum · 06/06/2012 21:25

Thank you - you a truly geniuses.

Or should that be geniae Confused

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