()py=m(x+√1+x2 ≈(t+ 1+x2) 解y'=[n(x+1+x x+√1+x2 1+ 1+(1+x2)√1+x2 x++x2x+√+x2Ⅵ1+x2 例11.设f可导,求()y=f(e2+x2),(2)y=a( 的导数 Af (1),=fle +x) (e+r y =(e+)(e+x) d (2)y=naf2(x)=2f(x)f(x)a(x)lna10 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 = +