## Calculus: Early Transcendentals 8th Edition

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