Answer
$w_{xy}=w_{yx}=1/y+1/x$
Work Step by Step
Take the first partial derivatives of the given function. When taking partial derivative with respect to x, treat y as a constant, and vice versa:
$w_x=e^x+lny+y/x$
$w_y=x/y+lnx$
Then take the derivative of the first order partial derivatives to find second partial derivatives:
$w_{xy}=1/y+1/x$
$w_{yx}=1/y+1/x$
