128 cubed root

128 cubed root

Input
128 x^(1/3)
Root
x = 0
Derivative
d/dx(128 x^(1/3)) = 128/(3 x^(2/3))
Indefinite integral
integral 128 x^(1/3) dx = 96 x^(4/3) + constant
Global minimum
min{128 x^(1/3)} = 0 at x = 0
Series representation
128 x^(1/3) = sum_(n=0)^infinity (-1 + x)^n 128 binomial(1/3, n) for abs(1 – x)<1

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