SOLUTION: Consider the vector field F(x,y,z)=(−3y,−3x,4z). Show that F is a gradient vector field F=∇V by determining the function V which satisfies V(0,0,0)=0. V(x,y,z)= My answer

Question 1181928: Consider the vector field F(x,y,z)=(−3y,−3x,4z). Show that F is a gradient vector field F=∇V by determining the function V which satisfies V(0,0,0)=0.
V(x,y,z)= My answer is -(3y^2/2)-(3x^2/2)+4z but it is wrong
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
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Try the function  V(x,y,z) = - 3xy + 2z^2.

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