Find the directional derivative of f(x,y,z)=x3−xy2−zf(x, y, z) = x^3 - xy^2 - zf(x,y,z)=x3−xy2−z at (1,1,0)(1, 1, 0)(1,1,0) in the direction of the vector v=⟨2,−1,2⟩\mathbf{v} = \langle 2, -1, 2 \ranglev=⟨2,−1,2⟩.
13\frac{1}{3}31
23\frac{2}{3}32
111
−13-\frac{1}{3}−31