Is this vector field conservative?

Question

Determine whether the vector field is conservative or not and please show work.
F(x,y,z) = sin yzi + xz cos yzj + xy sin yzk

Answer 1

all you have to do is to do a partial derivitive of the i and j and if they are they are not the same then the field is not conservitive.

derivitive of xz cos yz
deriviteive of sin yz

I can tell you right now that this field is not conservitive just by seeing that these partial derivites are not equal.

remember that when i mean say derivitive what i mean is a partial derivitive with respect to a certain variable where you would ignore the other variable and leave it as is.