高数课程妥媒血课件 镭理工大理>> 例2设函数f(x)=sinx,求(sinx)及(sinx)1x 解 (sin x)=li sin( x+h)-sin x h→>0 SIn lim cos(x+ coS d h→0 2 (sin x)=cos x .(sin x) coSx 2 Http://www.heut.edu.cn例 2 ( ) sin , (sin ) (sin ) . 4 = =   x 设函数 f x x 求 x 及 x 解 h x h x x h sin( ) sin (sin ) lim0 + −  = → 2 2 sin ) 2 lim cos( 0 h h h x h = +  → = cos x . 即 (sin x) = cos x. 4 4 (sin ) cos  =  =   = x x x x . 22 =