• Feb 25th 2008, 06:17 PM
Jeavus
I'm given the question:

"Find (dy/dx) for each of the following in terms of x and y using implicit differentiation."

sqroot(x) + sqroot(y) = 5

This is what I have so far...

sqroot(x) + sqroot(y) = 5
y=(5-sqroot(x))^2
y'=2(5-sqroot(x))(-x^(-1/2))
y'=2(5-sqroot(x))(-1/sqroot(x))

Am I headed in the right direction? If not, can someone show me where I should be heading? My teacher (unfortunately) didn't do a very good job explaining things...

Thanks. :)

EDIT: Sorry, this is all wrong. I solved the problem though. :)
• Feb 25th 2008, 07:28 PM
topsquark
Quote:

Originally Posted by Jeavus
I'm given the question:

"Find (dy/dx) for each of the following in terms of x and y using implicit differentiation."

sqroot(x) + sqroot(y) = 5

This is what I have so far...

sqroot(x) + sqroot(y) = 5
y=(5-sqroot(x))^2
y'=2(5-sqroot(x))(-x^(-1/2))
y'=2(5-sqroot(x))(-1/sqroot(x))

Am I headed in the right direction? If not, can someone show me where I should be heading? My teacher (unfortunately) didn't do a very good job explaining things...

Thanks. :)

EDIT: Sorry, this is all wrong. I solved the problem though. :)

Why don't you post your solution. It might help others. :)

-Dan