f(x)=x^(1/3) - Wolfram|Alpha

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Input

f(x) = x^(1/3)

Root

x = 0

Properties as a real function

Domain

{x element R : x>=0} (all non-negative real numbers)

Range

{f element R : f>=0} (all non-negative real numbers)

Injectivity

injective (one-to-one)

Derivative

d/dx(x^(1/3)) = 1/(3 x^(2/3))

Indefinite integral assuming all variables are real

integral x^(1/3)dx = (3 x^(4/3))/4 + constant

Global minimum

$min{x^(1/3)} = 0 at x = 0$

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