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例题2:求函数f(x)=C的导数(C为常数) 解: f(x)=lm f(x+h-f(x lim C-C =0 h→>0 h h-o h 即(C)′=0 例题3:求fx)=1的导数 x 解 f(=lim /(x+ -/()_limx+h X h→>0 龙 h→>0 h clim h->0h(x+hx h-0(x+h) 即例题2: 解: 即 (C) =0 解 f (x) h f x h f x h ( ) ( ) lim 0 + − = → lim 0 0 = − = → h C C h 解 f (x)  h f x h f x h ( ) ( ) lim 0 + − = → lim 0 0 = − = → h C C h  求函数f(x)=C 的导数(C为常数)  例 2 求 x f x 1 例题3: ( )= 的导数 解: 即: h x h x h f x h f x f x h h 1 1 lim ( ) ( ) ( ) lim 0 0 − + = + −  = → → 2 0 0 1 ( ) 1 lim ( ) lim h x h x x h x x h h h =− + =− + − = → →  2 0 0 1 ( ) 1 lim ( ) lim h x h x x h x x h h h =− + =− + − = → →  2 0 0 1 ( ) 1 lim ( ) lim h x h x x h x x h h h =− + =− + − = → →  h x h x h f x h f x f x h h 1 1 lim ( ) ( ) ( ) lim 0 0 − + = + −  = → → . 1 ) 1 ( 2 x x  = −
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