導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用課件1

13.1導(dǎo)數(shù)的概念第三章導(dǎo)數(shù)與微分3.2求導(dǎo)法則3.3基本導(dǎo)數(shù)公式與高階導(dǎo)數(shù)3.4函數(shù)的微分3.5導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用13.1導(dǎo)數(shù)的概念第三章導(dǎo)數(shù)與微分3.2求導(dǎo)法則12/17/202223.5導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用

二、彈性一、邊際分析

在經(jīng)濟(jì)與管理中常常要考慮產(chǎn)量、成本、利潤(rùn)、收益、需求、供給等問(wèn)題,通常成本、收益、利潤(rùn)都是產(chǎn)量的函數(shù).本節(jié)主要介紹經(jīng)濟(jì)學(xué)中的邊際分析與彈性分析問(wèn)題.12/17/202223.5導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用二12/17/2022312/17/2022312/17/2022412/17/2022412/17/2022512/17/20225導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用課件112/17/2022712/17/2022712/17/2022812/17/2022812/17/2022912/17/2022912/17/20221012/17/20221012/17/202211相對(duì)變化率12/17/202211相對(duì)變化率12/17/20221212/17/20221212/17/20221312/17/202213導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用課件112/17/20221512/17/20221512/17/20221612/17/20221612/17/20221712/17/20221712/17/20221812/17/20221812/17/20221912/17/20221912/17/20222012/17/20222012/17/202221求導(dǎo)法則基本公式導(dǎo)數(shù)微分關(guān)系高階導(dǎo)數(shù)一、主要內(nèi)容12/17/202221求導(dǎo)法則基本公式導(dǎo)數(shù)微分12/17/2022221、導(dǎo)數(shù)的定義定義12/17/2022221、導(dǎo)數(shù)的定義定義12/17/2022232.右導(dǎo)數(shù):單側(cè)導(dǎo)數(shù)1.左導(dǎo)數(shù):12/17/2022232.右導(dǎo)數(shù):單側(cè)導(dǎo)數(shù)1.左導(dǎo)數(shù):12/17/2022242、基本導(dǎo)數(shù)公式（常數(shù)和基本初等函數(shù)的導(dǎo)數(shù)公式）

共16個(gè)12/17/2022242、基本導(dǎo)數(shù)公式（常數(shù)和基本初等函數(shù)12/17/2022253、求導(dǎo)法則(1)函數(shù)的和、差、積、商的求導(dǎo)法則(2)反函數(shù)的求導(dǎo)法則12/17/2022253、求導(dǎo)法則(1)函數(shù)的和、差、積12/17/202226(3)復(fù)合函數(shù)的求導(dǎo)法則(4)對(duì)數(shù)求導(dǎo)法先在方程兩邊取對(duì)數(shù),然后利用隱函數(shù)的求導(dǎo)方法求出導(dǎo)數(shù).適用范圍:12/17/202226(3)復(fù)合函數(shù)的求導(dǎo)法則(4)對(duì)12/17/202227(5)隱函數(shù)求導(dǎo)法則用復(fù)合函數(shù)求導(dǎo)法則直接對(duì)方程兩邊求導(dǎo).(6)參變量函數(shù)的求導(dǎo)法則12/17/202227(5)隱函數(shù)求導(dǎo)法則用復(fù)合函數(shù)求導(dǎo)12/17/2022284、高階導(dǎo)數(shù)記作二階導(dǎo)數(shù)的導(dǎo)數(shù)稱為三階導(dǎo)數(shù),(二階和二階以上的導(dǎo)數(shù)統(tǒng)稱為高階導(dǎo)數(shù))12/17/2022284、高階導(dǎo)數(shù)記作二階導(dǎo)數(shù)的導(dǎo)數(shù)稱為三12/17/2022295、微分的定義定義(微分的實(shí)質(zhì))12/17/2022295、微分的定義定義(微分的實(shí)質(zhì))12/17/2022306、導(dǎo)數(shù)與微分的關(guān)系定理7、微分的求法求法:計(jì)算函數(shù)的導(dǎo)數(shù),乘以自變量的微分.12/17/2022306、導(dǎo)數(shù)與微分的關(guān)系定理7、微分的求12/17/202231基本初等函數(shù)的微分公式

共16個(gè)12/17/202231基本初等函數(shù)的微分公式共16個(gè)12/17/202232

函數(shù)和、差、積、商的微分法則8、微分的基本法則

微分形式的不變性12/17/202232函數(shù)和、差、積、商的微分法則8、12/17/202233TheEnd12/17/202233TheEnd343.1導(dǎo)數(shù)的概念第三章導(dǎo)數(shù)與微分3.2求導(dǎo)法則3.3基本導(dǎo)數(shù)公式與高階導(dǎo)數(shù)3.4函數(shù)的微分3.5導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用13.1導(dǎo)數(shù)的概念第三章導(dǎo)數(shù)與微分3.2求導(dǎo)法則12/17/2022353.5導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用

二、彈性一、邊際分析

在經(jīng)濟(jì)與管理中常常要考慮產(chǎn)量、成本、利潤(rùn)、收益、需求、供給等問(wèn)題,通常成本、收益、利潤(rùn)都是產(chǎn)量的函數(shù).本節(jié)主要介紹經(jīng)濟(jì)學(xué)中的邊際分析與彈性分析問(wèn)題.12/17/202223.5導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用二12/17/20223612/17/2022312/17/20223712/17/2022412/17/20223812/17/20225導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用課件112/17/20224012/17/2022712/17/20224112/17/2022812/17/20224212/17/2022912/17/20224312/17/20221012/17/202244相對(duì)變化率12/17/202211相對(duì)變化率12/17/20224512/17/20221212/17/20224612/17/202213導(dǎo)數(shù)在經(jīng)濟(jì)學(xué)中的簡(jiǎn)單應(yīng)用課件112/17/20224812/17/20221512/17/20224912/17/20221612/17/20225012/17/20221712/17/20225112/17/20221812/17/20225212/17/20221912/17/20225312/17/20222012/17/202254求導(dǎo)法則基本公式導(dǎo)數(shù)微分關(guān)系高階導(dǎo)數(shù)一、主要內(nèi)容12/17/202221求導(dǎo)法則基本公式導(dǎo)數(shù)微分12/17/2022551、導(dǎo)數(shù)的定義定義12/17/2022221、導(dǎo)數(shù)的定義定義12/17/2022562.右導(dǎo)數(shù):單側(cè)導(dǎo)數(shù)1.左導(dǎo)數(shù):12/17/2022232.右導(dǎo)數(shù):單側(cè)導(dǎo)數(shù)1.左導(dǎo)數(shù):12/17/2022572、基本導(dǎo)數(shù)公式（常數(shù)和基本初等函數(shù)的導(dǎo)數(shù)公式）

共16個(gè)12/17/2022242、基本導(dǎo)數(shù)公式（常數(shù)和基本初等函數(shù)12/17/2022583、求導(dǎo)法則(1)函數(shù)的和、差、積、商的求導(dǎo)法則(2)反函數(shù)的求導(dǎo)法則12/17/2022253、求導(dǎo)法則(1)函數(shù)的和、差、積12/17/202259(3)復(fù)合函數(shù)的求導(dǎo)法則(4)對(duì)數(shù)求導(dǎo)法先在方程兩邊取對(duì)數(shù),然后利用隱函數(shù)的求導(dǎo)方法求出導(dǎo)數(shù).適用范圍:12/17/202226(3)復(fù)合函數(shù)的求導(dǎo)法則(4)對(duì)12/17/202260(5)隱函數(shù)求導(dǎo)法則用復(fù)合函數(shù)求導(dǎo)法則直接對(duì)方程兩邊求導(dǎo).(6)參變量函數(shù)的求導(dǎo)法則12/17/202227(5)隱函數(shù)求導(dǎo)法則用復(fù)合函數(shù)求導(dǎo)12/17/2022614、高階導(dǎo)數(shù)記作二階導(dǎo)數(shù)的導(dǎo)數(shù)稱為三階導(dǎo)數(shù),(二階和二階以上的導(dǎo)數(shù)統(tǒng)稱為高階導(dǎo)數(shù))12/17/2022284、高階導(dǎo)數(shù)記作二階導(dǎo)數(shù)的導(dǎo)數(shù)稱為三12/17/2022625、微分的定義定義(微分的實(shí)質(zhì))12/17/2022295、微分的定義定義(微分的實(shí)質(zhì))12/17/2022636、導(dǎo)數(shù)與微分的關(guān)系定理7、微分的求法求法:計(jì)算函數(shù)的導(dǎo)數(shù),乘以自變量的微分.12/17/2022306、導(dǎo)數(shù)與微分的關(guān)系定理7、微分的求12/17/202264基