Determine whether F is conservative

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Homework Statement



F(x,y,z) = <2xy + ze^xz, x^2 +ze^yz, xe^xz + ye^yz + 2z>

Homework Equations





The Attempt at a Solution

f

I know how to find the partial of F(x,y) but I don't know how to do it for F(x,y,z). How do I do this?
 
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