文件第三章导数.pdf

瑕佺偣姊崇悊 鑰冪偣鑷祴 2.鍑芥暟y=f (x )鍦▁=x0 澶勭殑瀵兼暟 (1)瀹氫箟 肀?肀 +螖肀?-肀?肀 ) 螖肀 鍑芥暟y=f (x)鍦▁=x 0 澶勭殑鐬椂鍙樺寲鐜 lim 0 0 = lim 涓哄嚱鏁 螖肀モ啋0 螖肀 螖肀モ啋0 螖肀 y=f (x)鍦▁=x 澶勭殑瀵兼暟,璁颁綔f' (x )鎴杫' | ,鍗 0 0 肀 =肀? 螖肀 肀?肀 +螖肀?-肀?肀 ) 0 0 f' (x )= lim = lim . 0 螖肀モ啋0 螖肀 螖肀モ啋0 螖肀 (2)鍑犱綍鎰忎箟 鍑芥暟f (x)鍦ㄧ偣x=x 澶勭殑瀵兼暟f' (x ) 鐨勫嚑浣曟剰涔夋槸鏇茬嚎y=f (x)鍦ㄧ偣 )) 0 0 0 澶勭殑 .鐩稿簲鍦?鍒囩嚎鏂圭▼涓簓 f 0 f ) 瑕佺偣姊崇悊 鑰冪偣鑷祴 3.鍑芥暟f (x )鐨勫鍑芥暟 绉板嚱鏁癴' (x)= lim 肀?肀?螖肀?-肀?肀?涓哄嚱鏁癴 (x) 鐨勫鍑芥暟,瀵煎嚱鏁版湁鏃朵篃璁 螖肀モ啋0 螖肀 浣測'. 4.鍩烘湰鍒濈瓑鍑芥暟鐨勫鏁 鍘熷嚱鏁 瀵煎嚱鏁 f (x)=C f' (x)= 瑕佺偣姊崇悊 鑰冪偣鑷祴 缁〃 鍘熷嚱鏁 瀵煎嚱鏁 伪 * f (x)=x (伪鈭圦 ) f' (x)= f (x)=sin x f' (x)= f (x)=cos x f' (x)= x f' (x)= f (x)=a f (x)=ex f' (x)= 1 f (x)=log x f' (x)= a 肀n饊亷