y=(x-1)x^(2/3)求极值和单调区间

题目

y=(x-1)x^(2/3)求极值和单调区间

答案

y的导数为x^(2/3)+(x-1)*(2/3)*x^(-1/3)
领y的导数等于0,整理得x^(-1/3)*((5/3) x-2/3)=0
得x=0,x=2/5.
当x0
0