、导数性质设:()=F() 1时域导数性质 df (t) 02 =SF(S)-∫(0) dt dde-stdtsgo e= f(o udy =uv -vdu s e"f(x--o f(oes)e"dt oO P =e "f(to +s o f(t)e "dt==f(0 )+SF(S 0 il: Lcos ote(t)=L(sin ote(t)l o dt S 0= PDODOORCNL O S+O5210二 、导数性质 1. 时域导数性质 ] ( ) (0 ) ( ) [ − = SF S − f dt df t L  −  −   − − = 0 0 ( ) ( ) e dt e df t dt df t st st −  −  =  − − − − 0 ( )( ) 0 e f (t) f t s e dt st st = − f (0 ) + SF(S) − 0 2 2 − + =    s s 2 2 + = s s (sin ( ))] 1 1 [cos ( )] [ t t dt d L t t L    例 ：   = 设：L[ f (t)] = F(s)  udv = uv −  vdu +   =  − − − − 0 ( ) 0 e f (t) s f t e dt st st