requesting the brain power of math wizards

[RayEarth]

anything in a parenthesis is to be regarded as the square root of... so (x+y) means square root of x+y and (xy) means square root of xy

(x+y) + (xy) = 6 solve by method of "implicit differentiation"

my answer for this was: did you get the same thing?

(x)[(y)+(x)(x+y)]
-(y)[(x)+(y)(x+y)]

everything in parenthesis in my answer means square root, brackets seperate the distribution process.

 

[RayEarth]

anyone able to solve this?

 

[speg]

What level math are you in? We just learned this week, so I gave it a shot and came out with:

-y sqrt[x+y]
___________________ = y'

sqrt[xy] + x sqrt[x+y]

 

[RayEarth]

this is calculus, and the word problems are kicking my butt tox. thanks for trying, would be nice to get more attempts if possible.

 

[Legendary]

This is quite an answer. It may be able to be more simplified.

() are parentheses, sqrt implies square root
( (-y)/(2sqrt(xy)) - 1/(2sqrt(x+y))) / ( 1/(2sqrt(x+y)) + x/(2sqrt(xy))) = dy/dx
Yeesh that's ugly. Let me try to simplify.

 

[bleeb]

This is easy stuff. Much too simple for my highly developed, super capacity mind.

 

[agnitrate]

I get :

- (x * y)^( 1 / 2) - y (x + y)^(1 / 2)
--------------------------------------
(x y)^(1 / 2) + x (x + y)^( 1 / 2)

I can't even tell if that matches yours. Why the hell do people always try to abbreviate square roots? Just make it to the (1/2) power and it looks a hell of a lot cleaner than any other kind of abbreviation somebody could possibly come up with.

-silver

[edit] spaces to look cleaner [/edit]

 

[RayEarth]

well my original post was upside down but if I just flip the top and bottom and simplify it, it comes out to just like what you said agnitrate. I think it's the right answer, I'll just have to find out on monday. thanks.

 

Originally posted by: bleeb
This is easy stuff. Much too simple for my highly developed, super capacity mind.

right on my brotha!