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....

many Thanks,

For each of the conservative vector fields below, find a potential functionf.

1.

2.