Determine whether or not the vector field is conservative. If it is conservative, find a function $f$ such that

SCalcET$916.$XP$\mathrm{.}5\mathrm{.}019.F=$gradf. $($If the vector field is not conservative, enter DNE.$)$

$F(x,y,z)=e^{yz}ixz{e}^{yz}jxy{e}^{yz}k$

$f(x,y,z)=$

Check which variable$($s$)$ should be in your answer.