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Let f : R rarr R be defined as f(x) =...

Let `f : R rarr R` be defined as
`f(x) = {{:(-(4)/(3)x^(3) + 2x^(2) + 3x,", ",x gt 0),(3x e^(x) ,",",x le 0):}`. Then f is increasing function in the interval

A

`(-(1)/(2), 2)`

B

(0, 2)

C

`(-1, (3)/(2))`

D

`(-3, -1)`

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