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The function f(x)=x^(1/3)(x-1) has two ...

The function `f(x)=x^(1/3)(x-1)` has two inflection points has one point of extremum is non-differentiable has range `[-3x2^(-8/3),oo)`

A

has 2 inflection points

B

is strictly increasing for `xgt(1)/(4)` and strictly decreasing for `xlt(1)/(4)`

C

is concave down in `(-(1)/(2),0)`

D

area increased by the curve lying in the fourth quadrant is `(9)/(28)`

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