Conservative Vector Field!!!

Hi, for the following problem, it says both the vector fields are conservative and therefore will have potential functions.

Now, we know that if F is conservative then curl F = 0, which is true for the first vector field and the potential function for the first one is:

6x^2y+6y^2z

**but it looks like the second vector field is not conservative. Please help me out with the second vector field...I dont know if it has a potential function.... (Speechless)**

many Thanks,

For each of the conservative vector fields below, find a potential function *f*.

1. https://instruct.math.lsa.umich.edu/...050a1ac8a1.png

2. https://instruct.math.lsa.umich.edu/...73134bba41.png