高数1 求导题在线等~

2025-05-08 19:57:39

推荐回答（1个）

回答1：

{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^(1/2)]'}

= (1/2)[X + [X + X^(1/2)]^(1/2)]^(-1/2){1 + (1/2)[X + X^(1/2)]^(-1/2)[1 + (1/2)X^(-1/2)]}

高数1 求导题 在线等~

高数1 求导题在线等~