y=(x-1)x^2/3的极值
问题描述：
y=(x-1)x^2/3的极值
答
其导数y'=x^(2/3)+(2/3)·x^(-1/3)(x-1)=(5/3)·x^(2/3) - (2/3)·x^(-1/3)令y'=0,则(5/3)·x^(2/3) - (2/3)·x^(-1/3)=05·x^(2/3) - 2·x^(-1/3)=0两边乘x^(1/3)得5x - 2 =0x= 2/5y''=(10/9)·x^(-1/3) + (2/9)·x...