Answer :

local max. value is 251 at x = 8 and local min. value is 5 at x = 0

}(x)=-3x2+24x=0


-3x(x-8)=0


x=0,8


F’’(x)=-6x+24


F’’(0)>0, 0 is the point of local min.


F’’(8)<0, 8 is the point of local max.


F(8)=251 and f(0)=-5


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