Consider the function z=g(x,y)=X³ +13 3 (a) Compute the partial
derivatives of g. gx(x,y) = x² 2-y gy(x,y)=2 - X (b) Find all
critical points of g(x,y). List them in order from smallest x to
largest
8. [4/7 Points] DETAILS PREVIOUS ANSWERS Consider the function z=g(x,y)=X+X-XY+7. (a) Compute the partial derivatives of g. gx(x,y)=x²-y gy(x,y)=2_ -x (b) Find all critical points of g(x,y). List the