1)y=lm(x+1+x2) 解y'=ln(x+1+x2(x+√1+x2) x十 √1 1+( √1 1+J1 2 +√1+x x+√1+ 1+x 例11.设厂可导,求(1)y=f(e+x2),(2)y=a/( 的导数 解 ),=f(e +r) (e+r y=(e +exe)(e+x) (2)y=al)Ina.[(x)r=2f(x)f(x)a)Ina10 例11. 设ƒ可导, 求 的导数 2 ( ) (1) ( ), (2) x e f x y f e x y a = + = (1) ( ) ( ) dy x e x e f e x e x dx 解 = +  +   1 ( ) ( ) x e x e e ex f e x − = + +  2 ( ) 2 (2) ln [ ( )] f x y a a f x   =  2 ( ) 2 ( ) ( ) ln f x = f x f x a a  2 (11) ln( y x x = + +1 ). 2 2 2 ( 1 )' ' [ln( 1 )]' 1 x x y x x x x + + = + + = + + 解 2 2 1 ( 1 )' 1 x x x + + = + + 2 2 1 1 1 x x x x + + = + + 2 1 1 x = +