Given the function f ( x ) x 3 3 x 2 2 4 x 1 2 over the interval 8 x 4 , answer the following questions Find f ' ( x ) and f ( x ) Find the critical points of f Find any inflection points of f Evaluate fat its critical points and at the endpoints of the given interval Identify local and global maxima and minima of f in the interval

Question

Given the function f ( x )   x 3   3 x 2   2 4 x   1 2 over the interval   8   x   4 , answer the following questions  Find f  ' ( x ) and f    ( x )   Find the critical points of f   Find any inflection points of f   Evaluate fat its critical points and at the endpoints of the given interval  Identify local and global maxima and minima of f in the interval

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Given the function f ( x ) = x 3 + 3 x 2 - 2 4 x + 1 2 over the interval -

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