Answer
a. $z_x=f'(x)$
$z_y=g'(y)$
b. $z_x=f'(x+y)$
$z_y=f'(x+y)$
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:
a. $z_x=f'(x)$
$z_y=g'(y)$
b. $z_x=f'(x+y)\times1$
$z_y=f'(x+y)\times1$
