Oh jeez. I kept plugging in only POSITIVE sqrt 3/3, rather than negative. My apologies. This leads me to another similar question, however. What would you do if you have a similar function with e involved, and are asked to find the same thing (absolute min/max values) but the exponent's derivative no longer contains an x.

F(x) = e^-x - e^-2x

When you pull the exponents out in front there are no longer x's attached so how would you set it equal to 0 if e to any power can never equal 0.