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Let f(x)={{:(xe^(ax)",", x le0),(x+ax^2-...

Let `f(x)={{:(xe^(ax)",", x le0),(x+ax^2-x^3",",x gt 0):}` where a is postive constant . Find the interval in which f'(X) is increasing.

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The correct Answer is:
`(-2/a, 0)cup(0,a/3)`
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