高等數(shù)學(xué)二常用公式

1、《高等數(shù)學(xué)二》考試常用方法和公式《高等數(shù)學(xué)二》考試常用方法和公式一、一、求極限求極限（一）形如（一）形如)()(limxgxfax?1.代入法代入法把代入（）ax?)()()()(agafxgxf?0)(?ag2.因式分解法因式分解法若把代入ax?00)()()()(??agafxgxf可分解分子或者分母，約去一個因式，再把代入即可。ax?3.重要極限法重要極限法若把代入且分子或分母中含有或，利用公式ax?00)()()()(??aga

2、fxgxf)sin()tan(1)()sin(lim0)(??1)()tan(lim0)(??4.洛必達(dá)法則洛必達(dá)法則若把代入或，可利用洛必達(dá)法則，即ax?00)()()()(??agafxgxf??，再把代入即可。)()(lim)()(limxgxfxgxfaxax?????ax?（二）形如（二）形如01110111limbxbxbxbaxaxaxammmmnnnnx??????????????LL方法：???????????????

3、???????????mnmnmnbabxbxbxbaxaxaxamnmmmmnnnnx0lim01110111LL四、求導(dǎo)法則四、求導(dǎo)法則1.))(())(())()((??????xgxfxgxf2.))(())((???xfkxkf3.))(()()())(())()((????????xgxfxgxfxgxf4.2))(())(()()())(()()(xgxgxfxgxfxgxf???????????????五、求導(dǎo)數(shù)值五、求

4、導(dǎo)數(shù)值表示先求出表示先求出，再把，再把代入代入。)(0xf?)(xfy???0xx?)(xfy???六、微分（六、微分（）求法）求法dy方法：先求出，則y?dxydy??七、導(dǎo)數(shù)應(yīng)用七、導(dǎo)數(shù)應(yīng)用1.判斷在內(nèi)的單調(diào)性)(xf)(ba方法：求出，判別在內(nèi)的正負(fù)號。)(xf?)(xf?)(ba若為正數(shù)，則為單調(diào)增加函數(shù)；若為負(fù)數(shù)，則為單調(diào)減少函數(shù)。)(ba)(ba2.切線斜率和切線方程曲線在（或者）處的)(xfy?)(00yx0xx?切線斜率