1. The problem statement, all variables and given/known data Use the mean value theorem to show that if x ∈ ℝ>0 then 0 < ( x + 1)^1/5 − x^1/5 < (5x^4/5)^-1 2. Relevant equations MVT: f(b) = f(a) + f ' (c)*(b-a) 3. The attempt at a solution I can see that (5x^(4/5))^-1 is the differential of x^1/5, but I'm not sure what to let be f(x), what to let be a, and what to let be b. Thanks.