Answer
$f_x=e^{x+y+1}$
$f_y=e^{x+y+1}$
Work Step by Step
Take the first partial derivatives of the given function. When taking a partial derivative with respect to x, treat y as a constant, and vice versa:
$f_x=e^{x+y+1}\times1$
$f_y=e^{x+y+1}\times1$
