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56 .   Let   f x   = x 3 - 9 x 2 + 15 x + 6 ,   and   g   x =   min   f t : 0 t x ,                 0 x 6 x - 18 ,                 x > 6 ,   then   draw   the   graph   of g ( x )   and   discuss   the   continutity   and   differentiability   of   g ( x ) .  

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