Answer (Choose 1 answer)
A (See picture)
A. 1+2(x-1)-(y-2)-2(z+1)
C B. 1-(x-1)-2(y-2)+2(z+1)
C. 1+2(x-1)-2(y-2)-(z+1)
D. 1-(x-1)+2(y-2)-2(z+1)
Find the first order Taylor expansion of the function f(x,y,z)=x^{3}+xz^{2}+xyz+z^{2} at the point (x,y,z)=(1,2,-1).