Calculating Partial Derivatives of a Multivariate Function at a Point

[number0]

Homework Statement

Calculate the derivative of f(x,y,z)=($$\frac{z^3}{y}$$ , $$\frac{x^3}{z}$$) at (1,2,3)

Homework Equations

The Attempt at a Solution

Okay guys and gals, this problem was on my final today. It was the only problem I had a gutsy but unsure feeling about. The actual answer itself does not matter to me, rather the concept of understanding is.

I basically interpreted the problem this way:

Find the partial derivatives with respect to x,y,z for the two functions of f. So it is a 2 x 3 matrices. Plug in the points and you are done.

Did anyone else get this interpretation of the problem/solution?

 

[lanedance]

yeah i think that's reasonable...

sounds like you found the jacobian matrix, which is probably what i'd do
http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant