# The partial derivative

1. Feb 22, 2015

### Calpalned

1. The problem statement, all variables and given/known data
Find the partial derivative of $w = xe^\frac {y}{z}$.

2. Relevant equations
N/A

3. The attempt at a solution
$\frac{∂f}{∂x} = e^y/z$
$\frac{∂f}{∂y} = \frac{xe^y/z}{z}$
$\frac{∂f}{∂z} = (-yz^-2)(xe^yz^-1)$

Are theses correct? Thanks everyone.

Last edited by a moderator: Feb 22, 2015
2. Feb 22, 2015

### HallsofIvy

Staff Emeritus
Yes, they are- though poorly written. In Latex, to get more than one character in an exponent (or denominator or numerator, etc.) put them in "curly brackets"- { }.

"e^{y/z}" gives $e^{y/z}$.

Even better would be "e^{\frac{y}{z}}" which gives $e^{\frac{y}{z}}$

3. Feb 23, 2015

thanks