10.求下列函数的极值:-|||-(1) (x)=|x((x)^2-1)|;-|||-(2) (x)=dfrac (x({x)^2+1)}({x)^4-(x)^2+1};-|||-(3) (x)=((x-1))^2((x+1))^3.-|||-11.设 (x)=aln x+b(x)^2+x 在 _(1)=1, _(2)=2 处都取得极值,试求-|||-a与b;并问这时f在x1与x2是取得极大值还是极小值?-|||-12.在抛物线 ^2=2px 上哪一点的法线被抛物线所截之线段为-|||-最短?-|||-B-|||-a-|||-M A-|||-x-|||-d-|||-图 6-11-|||-13.要把货物从运河边上A城运往与运河相距为 BC=akm 的 图 6-11-|||-B城(见图 -11, 轮船运费的单价是α元 , 火车运费的单价是β元 (beta gt alpha ), 试求运河边上的-|||-一点M,修建铁路M B,使得A→M→B的总运费最省.

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