(2x^2-x^3)^(1/3) - Wolfram|Alpha

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Input

(2 x^2 - x^3)^(1/3)

Alternate form

(-((x - 2) x^2))^(1/3)

Roots

x = 0

x = 2

Derivative

d/dx((2 x^2 - x^3)^(1/3)) = ((4 - 3 x) x)/(3 (-((x - 2) x^2))^(2/3))

Local maximum

$max{(2 x^2 - x^3)^(1/3)} = (2 2^(2/3))/3 at x = 4/3$

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