1.A.解y=sin5x,由复合函数求导法，则%x=cos5x· 2.B.解若(e,由复合函数求导法，则(ea,=e,而不是 ep'(x),其为(ey=eo'(x). 3.B.解 y=1111 ln(lnN)'lnV√F2√F2 xInvxIn(Inv) 4.C.y'=f'(e*)e'e()+f(e)e.f'(x) =eLf(e*)e*+f(e*)f'(x)] 5B解y-cmr+经+oc()1. A. 解 y  sin 5x，由复合函数求导法，则 y5  x  cos5x . 2. B. 解 若 ( ) ( ) (e ) x x    ，由复合函数求导法，则 ( ) ( ) (e ) x x    = ( ) e  x ，而不是 e ( ) ( ) x x    ，其为 x  x (e ) ( ) e ( ) ( ) x x    . 3.B. 解 . 2 ln ln(ln ) 1 2 1 1 ln 1 . ln(ln ) 1 x x x x x x x y     4. C. 解 (e )e e (e )e ( ) ( ) ( ) y f f f x x x f x x f x       =e [ (e )e (e ) ( )] ( ) f f f x f x x x x    5.B. 解               2 2 2 1 1 sec 1 1 2 arcsin 2 1 x x x x y x = ). 1 sec 2 1 (arcsin 2 1 2 2 2 x x x x x   