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Separate the intervals of monotonocity o...

Separate the intervals of monotonocity of the following function:
(i) `f(x)=3x^(4)-8x^(3)-6x^(2)+24x+7`
(ii) `F(x) =-sin^(3)x+3sin^(2)x+5,x "in" (-pi//2,pi//2)`
(iii) `f(x)=(2^(x)-1)(2^(x)-2)^(2)`

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