Answer to Question #160207 in Calculus for alexis

Question

given the function f(x,y,z,w)= [x^2y+zw, y^2z+xw, xyzyw] find the differential df and the directional derivative at [-1,0,1,2]

Answer 1

f[x,y,z,w]=[x²y+zw,y²z+xw,xyz,yw]

df=[2xy,2yz,xy,y]

at [-1,0,1,2]

df=[0,0,0,0]