根号下X根号X根号X的导数

题目

根号下X根号X根号X的导数

答案

y=√{x[√x(√x)]}
=√{x[√x^(3/2)]}
=√[x*x^(3/4)]
=√x^(7/4)
=x^(7/8)
y'=7/8*x^(-1/8)