復(fù)合函數(shù)和反函數(shù)的導(dǎo)數(shù)(I)

《復(fù)合函數(shù)和反函數(shù)的導(dǎo)數(shù)(I)》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在教育資源-天天文庫。

1、反函數(shù)的導(dǎo)數(shù)結(jié)論：反函數(shù)的導(dǎo)數(shù)等于函數(shù)導(dǎo)數(shù)的倒數(shù).例3解特別地復(fù)合函數(shù)的導(dǎo)數(shù)結(jié)論：因變量對(duì)自變量求導(dǎo),等于因變量對(duì)中間變量求導(dǎo),乘以中間變量對(duì)自變量求導(dǎo).(鏈?zhǔn)椒▌t)證復(fù)合函數(shù)求導(dǎo)，要特別關(guān)注的是對(duì)那一個(gè)“對(duì)象”求導(dǎo)。例12解例13解例14解例15解例17解對(duì)數(shù)求導(dǎo)法觀察函數(shù)方法:先在方程兩邊取對(duì)數(shù),然后利用隱函數(shù)（復(fù)合函數(shù)）的求導(dǎo)方法求出導(dǎo)數(shù).--------對(duì)數(shù)求導(dǎo)法適用范圍:例18中：利用對(duì)數(shù)求導(dǎo)法，兩邊取對(duì)數(shù)得一般地解2：兩邊取對(duì)數(shù)，然后求導(dǎo)初等函數(shù)的導(dǎo)數(shù)1.常數(shù)和基本初等函數(shù)的導(dǎo)數(shù)公式2.函數(shù)的和、差

2、、積、商的求導(dǎo)法則3.復(fù)合函數(shù)的求導(dǎo)法則4.冪指函數(shù)求導(dǎo)法則用對(duì)數(shù)求導(dǎo)法或轉(zhuǎn)換為指數(shù)形式