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Which x values correspond to absolute maximums 0 or 0 and 4? Which x value correspond to local minimum 2 or 6? If f'x=0 then

Which x values correspond to absolute maximums 0 or 0 and 4? Which x value correspond to local minimum 2 or 6? If f'x=0 then the point (x,f(x)) is an extreme point is it always or sometimes ?

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