1. The problem statement, all variables and given/known data Show that the vector field given is conservative and find its potential function. F(x, y, z)= (6x^2+4z^3)i +(4x^3y+4e^3z)j + (12xz^2+12ye^3z)k. 2. Relevant equations 3. The attempt at a solution When I take partial derivative with respect of y for (6x^2+4z^3) and partial derivative with respect of x (4x^3y+4e^3z) they are not equal, then is not conservative. I don't need to check the rest of them , b/c if one fail then it's not concervative. What about the potential function? I don't think i have to do anything any more in this problem. I will appreciate any help. Thank you.