Input
x^(2/3)
Root
x = 0
Derivative
d/dx(x^(2/3)) = 2/(3 x^(1/3))
Indefinite integral
integral x^(2/3) dx = (3 x^(5/3))/5 + constant
Global minimum
min{x^(2/3)} = 0 at x = 0
Series representation
x^(2/3) = sum_(n=0)^infinity binomial(2/3, n) (-1 + x)^n for abs(1 – x)<1
Integral representation
(1 + z)^a = ( integral_(-i infinity + gamma)^(i infinity + gamma) (Gamma(s) Gamma(-a – s))/z^s ds)/((2 pi i) Gamma(-a)) for (0