Homogeneity and Proving a Function's Homogeneity

Hi.

I am presented with a function for which I know is homogeneous of degree 1. I'm having trouble proving it, however.

The function is:

I also have to prove that if this is homogeneous of degree 1, then

f(x,y) =

which I know utilizes the chain rule, but how do I start it? I have no clue.

Thanks for any help!

Re: Homogeneity and Proving a Function's Homogeneity

Quote:

Originally Posted by

**Number42** The function is:

Quote:

I also have to prove that if this is homogeneous of degree 1, then f(x,y) =

One way (in this case):