求导 根号(X+根号(X+根号X))
问题描述：
求导 根号(X+根号(X+根号X))
答
{根号(X+根号(X+根号X))}'= {[X + [X + X^(1/2)]^(1/2)]^(1/2)}'= (1/2)[X + [X + X^(1/2)]^(1/2)]^(-1/2){X + [X + X^(1/2)]^(1/2)}'= (1/2)[X + [X + X^(1/2)]^(1/2)]^(-1/2){1 + (1/2)[X + X^(1/2)]^(-1/2)[X + X...