# Partial derivatives problem

• Mar 15th 2007, 05:11 PM
clockingly
Partial derivatives problem
This was confusing me so any help would be appreciated!

For each of the following partial derivatives, give a possible F(x,y).

1) derivative with respect to y = x^2 divided by y
2) derivative with respect to y = xe raised to the xy
• Mar 15th 2007, 05:14 PM
frenzy
Quote:

Originally Posted by clockingly
This was confusing me so any help would be appreciated!

For each of the following partial derivatives, give a possible F(x,y).

1) x^2 divided by y
2) xe raised to the xy

Is this the entire question?
• Mar 15th 2007, 05:22 PM
clockingly
Quote:

Originally Posted by frenzy
Is this the entire question?

Ahhh sorry. Forgot to include

1) the derivative with respect to y = x^2 divided by y

2) the derivative with respect to y = xe^xy

I'll edit that first post.
• Mar 15th 2007, 05:28 PM
frenzy
Quote:

Originally Posted by clockingly
Ahhh sorry. Forgot to include

1) the derivative with respect to y = x^2 divided by y

2) the derivative with respect to y = xe^xy

if d/dy F(x,y)=x^2/y

then

F(x,y) could be x^2*ln(y)

or x^2*ln(y)+sin(x^234)*e^(x^1/5)

or

x^2*ln(y)+g(x)

where g(x) does not depend on y

there are others

Or is there...hmmm. :)