例1求函数 y=x+√x+√x的导数 解y= x+√x+√x 2√x+√x+√x = (1+ 2、x+√x+√x2√x+√/x (x+√x)) 1 (1+ (1+ ) 2√x+√x+√x2√x+√x 2√x 4√x2+x√x+2√x+1 8√x+√x+√x·√x2+x√x 上页例 1 求函数 y = x + x + x 的导数. 解 ( ) 2 1 + +  + +  = x x x x x x y ( ) ) 2 1 (1 2 1 +  + + + + = x x x x x x x )) 2 1 (1 2 1 (1 2 1 x x x x x x + + + + + = . 8 4 2 1 2 2 x x x x x x x x x x + +  + + + + =