1. The problem statement, all variables and given/known data Show that there exists a differentiable real function: (f(x))^5 + f(x) + x = 0 2. Relevant equations ?? definition of the derivative: lim (as x -> a) [f(x) - f(a)]/x-a 3. The attempt at a solution Not really sure where to start with this one. any help would be appreciated.