【摘要】一、隱函數(shù)的導(dǎo)數(shù)定義:.)(稱為隱函數(shù)由方程所確定的函數(shù)xyy?.)(形式稱為顯函數(shù)xfy?0),(?yxF)(xfy?隱函數(shù)的顯化問題:隱函數(shù)不易顯化或不能顯化如何求導(dǎo)?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).例1.,00????xyxdxdydxdyy
2025-07-24 06:04
【摘要】參變量函數(shù)的導(dǎo)數(shù)一、由參數(shù)方程所確定的函數(shù)的導(dǎo)數(shù).,)()(定的函數(shù)稱此為由參數(shù)方程所確間的函數(shù)關(guān)系與確定若參數(shù)方程xytytx???????例如?????,,22tytx2xt?消去參數(shù)22)2(xty???42x?xy21???
2025-07-18 14:25
【摘要】.導(dǎo)數(shù)的運(yùn)算幾個(gè)常用函數(shù)的導(dǎo)數(shù)1.導(dǎo)數(shù)的幾何意義是什么?????00.nnnnfxfxPPkxx???割線的斜率是????????000'00,.,.lim.xPPkPTfxxxkf
2025-11-29 07:42
【摘要】§6偏導(dǎo)數(shù)的幾何應(yīng)用◇空間曲線的切線與法平面◇曲面的切平面與法線復(fù)習(xí):平面曲線的切線與法線已知平面光滑曲線),(00yx切線方程0yy?法線方程0yy?若平面光滑曲線方程為),(),(ddyxFyxFxyyx??故在點(diǎn)切線方程法線方程
2025-07-21 17:31
【摘要】11(3)解:212sec2yxxx????y=(1sin)sin(cos)cosxxxxx????sincoscos2xxxx???3(3)解一:??y=sinsincosxxxx???3(3)解二:22si
2025-07-24 06:07
【摘要】1.隱函數(shù)的導(dǎo)數(shù)隱函數(shù)即由方程0),(?yxF所確定的函數(shù)).(xfy?直接在方程0),(?yxF兩邊對(duì)x求導(dǎo)再解出,y?但應(yīng)注意F對(duì)變?cè)獃求導(dǎo)時(shí),要利用復(fù)合求導(dǎo)法則.2.對(duì)數(shù)求導(dǎo)法當(dāng)函數(shù)式較復(fù)雜(含乘、除、乘方、開方、冪指函數(shù)等)時(shí),在方程兩邊取對(duì)數(shù),按隱函數(shù)的求
2025-07-24 04:24
【摘要】?.?條件.?.重點(diǎn)難點(diǎn)重點(diǎn):利用導(dǎo)數(shù)知識(shí)求函數(shù)的極值難點(diǎn):對(duì)極大、極小值概念的理解及求可導(dǎo)函數(shù)的極值的步驟觀察圖象中,點(diǎn)a和點(diǎn)b處的函數(shù)值與它們附近點(diǎn)的函數(shù)值有什么的大小關(guān)系?aboxy??xfy?一極值的定義?點(diǎn)a叫做函數(shù)y=f(x)的極小值點(diǎn),
2025-07-26 19:48
【摘要】反射光線的方向取決于入射點(diǎn)和該點(diǎn)處的切線.從橢圓的一個(gè)焦點(diǎn)發(fā)出的光線經(jīng)橢圓反射后必經(jīng)過另一個(gè)焦點(diǎn).§1導(dǎo)數(shù)1.切線問題第二章一元函數(shù)微分學(xué)零.引例?因而切線MT的斜率為00)()(tanxxxfxf????,)()(limtan
2025-11-29 01:11
【摘要】了解函數(shù)單調(diào)性和導(dǎo)數(shù)的關(guān)系/能利用導(dǎo)數(shù)研究函數(shù)的單調(diào)性,會(huì)求函數(shù)的單調(diào)區(qū)間/了解函數(shù)在某點(diǎn)取得極值的必要條件和充分條件/會(huì)用導(dǎo)數(shù)求函數(shù)的極大值、極小值/會(huì)求閉區(qū)間上函數(shù)的最大值、最小值/會(huì)利用導(dǎo)數(shù)解決某些實(shí)際問題導(dǎo)數(shù)的應(yīng)用1.函數(shù)在某區(qū)間上單調(diào)的充分條件一般地,設(shè)函數(shù)y=f(x)在某個(gè)區(qū)間內(nèi)有導(dǎo)數(shù),如果在這個(gè)區(qū)間內(nèi)y′
2025-09-20 15:55
【摘要】......導(dǎo)數(shù)中雙變量的函數(shù)構(gòu)造21.(12分)已知函數(shù)(). ?。?)若函數(shù)是單調(diào)函數(shù),求的取值范圍;(2)求證:當(dāng)時(shí),都有.21.解:(1)函數(shù)的定義域?yàn)?,∵,∴,∵函?shù)是單調(diào)函數(shù),∴或在上恒成立,①∵,∴,即,,
2025-05-16 03:43
【摘要】《常見函數(shù)的導(dǎo)數(shù)》教案一、學(xué)習(xí)目標(biāo):掌握初等函數(shù)的求導(dǎo)公式;[來源:中國(guó)*%教育#~@出版網(wǎng)]二、學(xué)習(xí)重難點(diǎn):用定義推導(dǎo)常見函數(shù)的導(dǎo)數(shù)公式.三、學(xué)習(xí)過程【復(fù)習(xí)準(zhǔn)備】①導(dǎo)數(shù)的定義;②導(dǎo)數(shù)的幾何意義;③導(dǎo)函數(shù)的定義;④求函數(shù)的導(dǎo)數(shù)的流程圖.(1)求函數(shù)的改變量
2025-11-28 20:51
【摘要】《常見函數(shù)的導(dǎo)數(shù)》同步檢測(cè)一、基礎(chǔ)過關(guān)1.下列結(jié)論中正確的個(gè)數(shù)為________.[來源:zz^@step&.*%]①f(x)=ln2,則f′(x)=12;[來@&*源^:中教~網(wǎng)]②f(x)=1x2,則f′(3)=-227;③f(x)=2x,則f′(x)=2xln2;
【摘要】復(fù)合函數(shù)的導(dǎo)數(shù)練習(xí)題一、選擇題=的導(dǎo)數(shù)是A.B.C.-D.-=sin3(3x+)的導(dǎo)數(shù)為(3x+)cos(3x+)(3x+)cos(3x+)(3x+)D.-9sin2(3x+)cos(3x+)=cos(sinx)的導(dǎo)數(shù)為A.-[sin(si
2025-03-25 00:18
【摘要】對(duì)數(shù)函數(shù)與指數(shù)函數(shù)的導(dǎo)數(shù)一、復(fù)習(xí)與引入:1.函數(shù)的導(dǎo)數(shù)的定義與幾何意義....,我們已經(jīng)掌握了初等函數(shù)中的冪函數(shù)、三角函數(shù)的導(dǎo)數(shù),但還缺少指數(shù)函數(shù)、對(duì)數(shù)函數(shù)的導(dǎo)數(shù),而這就是我們今天要新學(xué)的內(nèi)容.有了指數(shù)函數(shù)、對(duì)數(shù)函數(shù)的導(dǎo)數(shù),也就解決了初等函
2025-05-15 02:15
【摘要】上頁下頁結(jié)束返回首頁四、隱函數(shù)的導(dǎo)數(shù)對(duì)數(shù)求導(dǎo)法由參數(shù)方程所確定函數(shù)的導(dǎo)數(shù)?隱函數(shù)的導(dǎo)數(shù)?對(duì)數(shù)求導(dǎo)法由參數(shù)?方程所確定函數(shù)的導(dǎo)數(shù)上頁下頁結(jié)束返回首頁1、隱函數(shù)的導(dǎo)數(shù)P102定義:.)(0),(,,,0),(xf
2025-02-21 12:49