Alright so I have no idea what im doing and I cant seem to figure it out

from what I can tell a vector field is generally, although not always, just the gradient of the potential field

so I have this question to answer:

Find a potential for the vector field F by inspection.

F = <yz^2,xz^2,2xyz>

i thought it would simply be phi(x)=xyz^2

thought this is not that case

what am i doing wrong?