- #1
jspectral
- 12
- 0
Homework Statement
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
Homework Equations
MVT: f(b) = f(a) + f ' (c)*(b-a)
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.