Question: Consider the function f ( x , y ) = x 2 + y 2 2 . ( a ) Find the gradient vector field

Consider the function f(x,y)=x2+y22.
(a) Find the gradient vector field of f.
(b) Let F=gradf. Draw and label the vectors
F(0,1),F(1,0),F(-1,0),F(0,-1)
on the xy-plane below. Be sure to place these vectors at the appropriate coordinates on the plane.
Consider the function f ( x , y ) = x 2 + y 2 2 .

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