专升本高数二概念

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ᦪஹ᩽▲§1.1ᦪ
ஹ⌕ᑁಔᦪḄᭆ1.ᦪḄy=f(x),x€DD(f),:Z(f)./(x)XGy=<2.ᑖᦪ[g(X)XGD23.◚ᦪF(x,y)=04.ᦪy=f(x)->x=cp(y)=f-1(y)y=fi(x)ᳮ:᝞!ᦪ:y=f(x),D(f)=X,Z(f)=Y"#$ᓫ&'((ᡈ+,)Ḅ.ᑣ012ᙠᦪy=f1(x)D(f1)=y,Z(f1)=X,45"#$ᓫ&'((ᡈ+,)Ḅ஺ಕᦪḄ89ᱯឋ1.ᦪḄᓫ&ឋy=f(x),x€D,xiஹx€b2?f(Xi)&f(X2),ᑣ@f(x)ᙠDᑁᓫ&'(();?f(Xl)>f(X2),ᑣ@f(x)ᙠDᑁᓫ&+,();?f(Xl)

1ᑣ@f(x)ᙠDᑁ#$ᓫ&'(();?f(Xi)>f(X2),ᑣ@f(x)ᙠDᑁ#$ᓫ&+,()o2.ᦪḄ᜻ᏔឋD(f)ᐵEFGH@Ꮤᦪf(-x)=f(x)᜻ᦪf(-x)=-f(x)3.ᦪḄᕜJឋᕜJᦪf(x+T)=f(x),x€(-8,+8)ᕜJT
ᨬLḄMᦪ4.ᦪḄᨵOឋ|f(x)|Osa^l)4.Hᦪᦪy=logx,(a>Oxa#l)Q5.Z[ᦪy=sinx,y=conxy=tanx,y=cotxy=secx,y-cscx6.Z[ᦪ:y=arcsinx,y=arcconxy=arc+anx,y=arccotxಗ]ᔠᦪSTᦪ

21.]ᔠᦪy=f(u),u=cp(x)y=f[cp(x)],x€X2.STᦪᵫQRSTᦪ`aᨵ▲bḄcᑣdef(ஹ+ஹgஹ◀i]ᔠᡠ᪀ᡂḄ>m4nᵨ
pᦪqrs⊤uḄᦪ§1.2᩽▲
ஹ⌕ᑁಔ᩽▲Ḅᭆ]im%
1.ᦪᑡḄ᩽▲:Z2-»00@ᦪᑡwUᦪAV᩽▲;ᡈ@ᦪᑡᦈyEA.•V"
Ḅ᩽▲2ᙠ={i஻}1ᨵO.ᳮ?2.ᦪḄ᩽▲:প/XḄ᩽▲:lim/(%)=AஹX->-00lim/(A:)=Alim=AXf8X—>+oo)

3ফ7WḄ᩽▲:lim/(x)=AX-^XQlim/(x)=A᩽▲X-^XQ᩽▲:বᦪ᩽▲2Ḅᐙ⌕ᩩlimf(x)=4olimf(x)=limf(x)=Aᳮx-»xX->%0oಕᜧLLᜧlim|/(x)|=+oo@ᙠᓄa/(X)Vᜧ஺Xpᓄa"ᢣX->—00,x-,+oo,X-,00,X-X஺X~3ᐗ0,X->2.Llim/(x)=°/(%)@ᙠᓄaVL஺3.ᜧLḄᐵ:lim/(x)=0=lim=+00,(/(x)WO)ᳮ:Im

4LḄlimo°lim°4.lim—=0প?>ᑣ@B"a▤ḄL;lim2=ফ?acVUᦪi>ᑣ@Ba▤ḄL;ব?aᑣ@Ba"TḄL>B2a3lim^ooভ?a>ᑣ@B"a▤ḄL஺ᳮ?¡1~~£23lim—=ᩩᑣa2᜛2ಖ¤☢ᜳᳮ1.ᦪᑡ᩽▲2ᙠḄᑨ¨ᑣ:©-n—n=h2ஹ3…ilim%=limz஻=au/?—>oon—>oolim=a&Un—>00

52.ᦪ᩽▲2ᙠḄᑨ¨ᑣ©HEGxoḄp«ᑁḄ
ᑗG(GXo◀᜜)ᨵg(x)%ox—>x0lim/(x)=Aᑣ»0ಗ᩽▲Ḅde®ᑣ?limw(x)=A,limv(x)=B¯u5জlim[w(x)±v(x)]limw(x)±limv(%)=A±Bঝlim[w(x)-v(x)]=limw(x)-limv(x)=AB°u(x)limz/(x)Alim——==—(limv(x)W0)ঞv(x)limv(x)Bvv77±²জlim%(x)±%(1)³…³஻஻(´)]=limu(x)±limḄ(x)±9••¶limu(x)lnঝlim[c9஻(x)]=c-limw(x)ঞlim["(x)]"=[limw(x)]/7

6ಘ¤p¸⌕᩽▲(sinx”h°m-s-i--n-°(x)1hm-------=I
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lim(l+-)xlim(l+x)x2.x—>ooJQxf0§1.3
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—/%
஺1AxfOAx-0lim/(x)=/(%)dx—>x0ᳮ/পTH
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2.ᦪᙠᐭ஺ᜐḄ1⌕ᩩ:xxᳮ/%
ᙠoᜐ=>/%ᙠoᜐ᩽▲2ᙠ3.ᦪᙠX0ᜐḄᐙ⌕ᩩ:

7lim/(x)=f(x)=limf(x)=lim/(x)=/(%)0M¿9x—>´0X->XX->XQ04.ᦪᙠÀ:/(X)ᙠÀÁ
GÂ஺ᙠÃG஻""ᢣlim/(x)=/(a)ÅGÆ,lim/(%)=/(/?)Xfb1ÈÉÊË•ᙠÌ:஺a+0᜛x5.ᦪḄÎÏG:?/(%)ᙠX஺ᜐÑ>ᑣ/VÒ(X)ḄÎÏG஺ÎÏGᨵZÓÔÕ:1°)M/ᙠ(ᜐ;lim/(x)2°%—>%oÑ2ᙠ;)M/ᙠ/ᜐᨵ>4!×”ᙳ2ᙠ,3°lim/(x)^/(x)0ÚX—>x0¤ÛÎÏGḄᑨÏ:

81°
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ÆÜÂ2ᙠ஺lim/(x)ÝÞÎÏG/.X஺2ᙠ>Ú!ß/(4)஺/(%))M/“஺ᜐ஺2஺ÛÎÏGlim/(x)lim/(x)ᱯGà,ᨵ
pV8,lim/(x)ᡈ%—%0â₩Ñ2ᙠ஺lim/(x)lim/(%)ÎÏG:x—»xjÜ->ᨵà,ᨵ
pV8ಕᦪᙠ0ᜐḄឋä1.ᦪḄcᑣdelim/(x)=/(x)limg(x)=g(x)00©X^XQ>X^XQlim[f(x)±g(x)]=f(x)±g(x)001°%—>%olim"(x)•g(%)]=/(x)-g(x)002°X—>%o

9limg(x)w0[Xf%0)3஺—%஺g(x)g(x)o2.]ᔠᦪḄឋy=/("),u=(p(x).y=/[஺প]x10()(0)஻—>᜛(%0)/(஻)=஺9(/)]limf[(p(x)]=f[lim°(x)]=f[^(x)]0&u%—>%o%—>%o3.ᦪḄឋy=/(%),%=f-1(x),y=f(x)00lim/(%)=f(x)olim'(y)=f~](%)0y->y0ಖᦪᙠÀḄឋä1.ᨬᜧᨬLᳮ

100abxm-M0abx2.ᨵOᳮ/XᙠæçèÀ=>/XᙠéÀ
ᨵO஺3.êᳮff%iᙠæ஻>èÀᙠf஻,ᓃiᑁà,2ᙠ-G4,ìífC=c,

11m0a®12b±²Àï4f(a)f(b)/(x)ᙠî,é=ᙠ)ᑁà,2ᙠ
Gð>ìí/0=0஺4.STᦪḄឋSTᦪᙠᐸòÎᑁÂ"Ḅ஺
ᐗᦪôᑖq§2.1õᦪôᑖ
ஹ⌕ᑁಔõᦪḄᭆi.õᦪy=/(")ᙠ"஺Ḅp«ᑁᨵ>Ay/(x+Ax)-/(x)lim——=lim-----0----------------0-—Ax-Ax=hm---------------X()X-XQ

12?஺=@AX="0£%o=limB"*""஺2•õᦪX-XQõ᝞AMö
—
ᳮ/fXiᙠ“0Ḅfᡈi«ÀᙠᐸᑁÝõ>4᩽▲2ᙠ./ZX
=lim/rx
nlOᑣx-»x0C/
=Wm/rx
X->XQ>3.ᦪÝõḄ1⌕ᩩᳮ/fXiᙠ20ᜐÝõ/fXiᙠxoᜐ4.ᦪÝõḄᐙ⌕ᩩ:Vø஺=
X஺i2ᙠ=£%0=ùfÜ0,ᳮ:42ᙠ஺5õᦪ'=/'(%)xe(a,b)

13f
x£a,bᑁᜐᜐÝõ஺y/'f᳝ii6.õᦪḄ89ឋä:üyL஺i"þÿy=fM
M"oyᜐᑗḄ᳛஺஺xoಕᑣ1.:2.ᦪḄᑣ1஺஻±U'=஻'&"oCu-v)r=Uf-V+U-V23°(3)3.'ᔠ)ᦪḄᦪ:7=/(஻),u=(p(x\y=dydydu/=7.ᡂ,ᡈ{/3")]}'==3")]"(")ਮ89{/[^(x)]}%/Xx)]Ḅ?@{/"A}'⊤C'ᔠ)ᦪDEFGx;⊤C'ᔠ)ᦪDIJFGX஺

144.K▤ᦪ/M஻M᝞বM/(w)(x)=[/(w-1)(x)]\5=234…))ᦪḄn▤ᦪPQᐸn-1ᦪḄᦪ஺ಖTᑖḄᭆW1.Tᑖ/(")ᙠ"ḄYZ[\ᑁᨵ_`Ay=A(x)-Ax+o(Ax)ᐸIA(x)aAxbᐵo(Ax)deAxfKo(Ax)hm-------=0▤ḄbghGᓽAr—>0Axᑣjy=/(%)ᙠXᜐkTlmdy=A(x)Axdy=A(x)dx(Ax-»0)2.ᦪaTᑖḄPnᐵo_ᳮ/(x)ᙠ1ᜐkTn/(“)ᙠsᜐk,rt:/(x)=A(x)3.TᑖuvFឋdy=f\u)duvxUdEFGydIJFG)ᦪḄ

15Tᑖzᐹᨵ|}Ḅu஺§2.2I~_ᳮᦪḄᵨஹ⌕ᑁಔI~_ᳮ1._ᳮ/%ᩩ:i°ᙠE,FGHI;ᙠ஺OᑁPQ2஺ᙠK஻ᑁMN;=Rᙠ*S,3"ভ=஻9TU'W=0
2.ᨽ_ᳮJᩩ:

16ᙠ3,XᑁPQR1°ᙠGHI“2°ᙠ஻,XᑁMNJnᙠ*S஺TY:/S)-/3)b-a000ಕᛞᑣ6~_/(%)g(x)_ᳮ:ᩩ:lim/(x)=0(ᡈ8)x-^arlimg(x)=0(ᡈoo)_2஺ᙠaḄYZ[\ᑁkt8%஺°;lim`=A,(ᡈ00)3஺%—(00)g'(x)limᒹ=lim@=A,ᡈ00ᑣ:f(oo)g(x)i(8)g'(x)ਮ891°ᑣḄ9`)ᦪeḄ᩽▲ᓄᡂᦪeḄ᩽▲஺2°¡vᑣḄᩩv¢£ᵨᑣ஺000ᓽvd6ᡈ¤¥vk஺3°ᵨᑣ¥⌕ᑖ@Dᑖ¦ஹᑖ§¨vdD᦮Zᑖ஺

174஺¡/XgXyᑣḄᩩ,kª«¬£ᵨᑣᓽlimcUlimGlim=4(ᡈ8)xfa(co)g(x)xfa(8)x->a(oo)g(X)5°¡)ᦪd0•OO,OO-00kᵨ®ᦪF1000°co0uᓄᡂdᡈ00¯¡d°U3k0ooᵨDᦪᡈᢣᦪFuᓄᡂ5ᡈ²஺ಖᦪḄᵨ1.ᑗ³´³´:µ7=/(%),Mg4஺)ᑗ³´?·=/'/"¸³´¹º¨»"ߟ/'½"஺s°2.¾ḄᓫÀឋ:d)/f(x)>oXG3g
=>/Xᙠ3,஺ᑁᓫhij;/7x
<0%£QA
n/Xᙠ3kᑁᓫhlQ;

18ফff(X)>0XG3knᙠ(஺,C)ᑁmnᓫhij;/\x)<0xe(ab)=ᙠ3,஺omnᓫhlQ஺93.)ᦪḄ᩽~প᩽~Ḅ_`f(x)(a,b)(a,b)µJ\/ᙠஹ/ᑁᨵ_`f(x)[W(x)

191°J(X)ᙠtᜐHI_/(%)~᩽q;22v(%)=஺ᡈT(x0)xRᙠ;n%~᩽qS஺3Gvপzt{|}஺YX஺f(XஹÖ×ØÙÚÛ0¥JV,ᵫ(+)F(_)¯ᑣ”X஺)Ï᩽ᜧ~;X/f(X)/(X)ÖØÙÚÛ°¥'/ᵫ(-)F(+)¯ᑣ1°OÏ᩽h~஺i°.fU)=o_/(X஺)~᩽q;n%~᩽qS஺2஺./"(%)Rᙠ஺/Eᳮ—¡h஺)<°,ᑣ2஺)Ï᩽ᜧ~;¡/(%)>°,ᑣ/(᳝)Ï᩽h~஺ਮ89Ôv_d᩽~᩽~åv_dÔ஺4.¾Ḅçᔣé/7x)>0,xe(a,/?)/(x)(a,b)প¡Jv7\'¯ᑣJ'ᙠ’ᑁd
çḄ(ᡈçḄ),(U)¯f\x)<0,xG(a,b)f(x)(a,b)ফ¡J''\¯ᑣJ''ᙠ'''ᑁdëçḄ(ᡈìḄ),(n)¯

201஺/஻(%)=0,[&"(%))ব2°./"(%)zt{|,*}ojO/(x)ḄS஺5¾ḄØíOপîïØílim/(%)=AIy=AপX—>-00Ḅ஺ᡈlim/(x)=AX—>+ooফðñØílim/(x)=00x=C^f(x)x-^C~Ḅ஺ᡈlim/(x)=00%-c+òóôᐗ)ᦪöᑖ÷§3.1v_öᑖஹ⌕ᑁಔø⌕ḄᭆWឋù1,ú)ᦪµ/(“),ὡ஺),XGD¡F7x)=/(x)ᑣjWx)d/(“)Ḅ-Zú)᝞F(x)+Cü/(%)ýj7EḄᡠᨵú)ᦪ,ᐸICdË9ÿᦪ஺

212.ᑖ:ᦪ/(%)ᦪḄᡠᨵᦪḄᐰ,/(x)ᦪJ'/Ḅᑖ:j/(x)Jx=F(x)+Cf(x)ᐸJ'/ᦪ/(x)dx⊤!;xᑖ$%஺3.ᑖḄឋ'[j/(x)JxJ=/(X)(1)rf[j/(x)rfx]=f(x)dxᡈ:j/r(x)rfx=/(x)+Cফᡈ:ᑠ%)=/(x)+C(%)+/2(x)+…+$(X)]dxব=J7i(x)d%+]7*2(%)-+…+J/(x)rfxn0ᑖ⚗ᑖ2

22(4)jkf(x)dx=kjf(x)dx3456ᦪ)4.89ᑖ-!ಕᣚᐗᑖ21.=0ᣚᐗ2(>“@Aᐗ”2)[fl(p(x)](pf(x)dxJJ/[^(xW(x)Jᐗ=jf(t)dt=F(t)+C£=C(x)=F[^(x)]+C£=°(x)6ᵨḄ@Aᐗᦪᨵ11=-d(ax)=-d(ax+b)(@஺Oᦪ஻/o)rxmdx--------dxm+1----------d(axm+1+b)2°m+1(᪷Oᦪ)1exdx=d(ex)=-d(aex+b)30aaxdx=-d--i-ax\(Q>0QW1)Ina

23—dx=rf(lnx)40xosindr=-d(cosx)cosxdx=d(sinx)5sec*2xdx=d(tanx)esc2xdx=-d(cotx)=dx=d(arcsinx)=-d(arccosx)6°21-------dx=d(arctanx)=-d(arccotx)1+x22.=Dᣚᐗ2x=9«=pwwirfx=Fa+c=Fp-\x
+C¢C=°TX=Dᣚᐗ2E⌕G┐IJᨵ᪷!Ḅᦪ,ᐸᵨGL᪷!ᨵᳮᓄ஺0OᨵPQRSTᣚx=tn,஻OᏔᦪ{">01°UVᦪᨵWX

24J2°x=஻sin,ᡈx=஻cosx,0

25Jp(x)arctanxdx^Jp(x)arccotxdxeaxsinbxdxJeaxcosbxdxমyᐸP(X)=a஺%HF%(a⚗!)3.⌱ucd:P(x)=Uপᙠfgᦪha⚗!ijᐸkdv;l“fa⌱a”஺P(x)=Uফᙠᢣᦪᦪha⚗!ijᐸkdv;l“ᢣa⌱a”஺বᙠa⚗!hIᦪᦪijIn%=τᐸkdv;l“aI⌱I”஺ভᙠa⚗!hofgᦪi⌱ofgᦪU,ᐸkdv;l"ao⌱o"஺মᙠᢣᦪᦪhfgᦪipq⌱0ᦪu,ᐸkdv;l"ᢣfq⌱”஺ಗlᓫᨵᳮᦪᑖ
\P(x)/(x)=------1.ᨵᳮᦪe(x)ᐸP(x)¦Q(x)Ga⚗!஺2.lᓫᨵᳮᦪ:

26PMPMপ/প=/(%)=1+x'l+x2/(x)=ফ(x+a)(x+8)P(x)ব/¨=(x+tz)2+b§3.2ᑖf(x)--E⌕ᑁv(0).w⌕ᭆyzឋ'1.ᑖḄ{஺aX1XXi-1XiX-1bX2n£/(x)jx=]imC/(^)Ax.¬Axf0i=ln—>ooᑖJ|}ᑖᒘஹஹஹ᩽▲஺ᑖḄR{Gxiy=f(x),x=a,x=bᔜ\ᑖ☢ḄTᦪ஺xḄ☢iyxQḄ☢஺++aO2.ᑖᙠᳮ7=/(%)xe\a,b]f(x)Qᑡᩩ0:

27HIxe\a,b}2஺./(“)ᙠ®஺¯ᨵᨵ▲²³*´µ¶S_3஺./(%)ᙠ·஻ᵨ¯ᓫhᨵ¹;&ºj#ᙠ$a,A&±M»஺ᑖᙠiᑣᑖzPQ¡¢£ᐵ1°t»ᑖ|½¾¿Àᐵᓽ/(x)dx=(/«)Ã_2஺tᙠ·ᜐX¯ḄᑜᑖÀᐵᓽ·஻,ÅÆÇÈÉᑜᑖ_3஺tS&Ḅ⌱ËÀᐵᓽ&MÇᙠÌ*,tGÈÉ⌱Ë஺»ᑖqÍtλÏᦪ/(%)tеE,ᑗᨵᐵ஺3.¥¦——¨©ªᐻ-!X(“)~HIÏᦪ/(X)ᙠ·஻Ò¯ḄÈÉ*²ÓÏᦪ:&º)#7(“Ô=X(ᑘ*=X(X)*X3)*¥¦——¨©ªᐻ-!GᑖḄ᪶¯ᳮiᐸᵨGL0°±☢Ḅ²⚪´ᓄµ¶ᦪ·¸¹º%Ḅ²⚪஺4.ᦪᙠᳮ:

28ₔ(%)HIx€\a,b],ᑣ0(%)=ff(t)dt,xe\a^b\9(%)Ù(%)ᙠGḄ*²ÓÏᦪ.Ú(p\x)=(|xfwty=/(X)5.ᑖḄឋ'/•(x),g(x)ᙠবÛGM»,ᑣ:1°£kf(x)dx=Üjf(x)dx°£f(x)dx=-£f(x)dx23°£[/(X)±g(x)}fx=£/(x)rfx±£g(x)dx4°f/(x)rfx=O5஺f/(x)=[f(x)dx+ff(x)dx(a

29f(x)0acbx0abx0abx7°f(x)

30(D)ᑖḄ¸¹1.ᣚᐗᑖ=(%)>?@xe[a^b]x=(p(t)9A᜛'(@)>?@CD@EaFᑮHI,0(£)ᓫKᙢEaFᑮM0(a)=஻MP)=஺O!Jf/(%)dx=[0(P9᜛'QR2.ᑖ\ᑖ3.¼{ᑖA1_QQ4^1A1,QQSf(x)dx=ff(x)dx+[f(x)dxJ-00J-00Jb4.ᑖḄ½ᦪ-!i\[f(t)dty=f(x)x2°[fx)/am=/[^(x)]-^(x)

313஺·?ᵫ)=/·%%å9ẑ%-/·%%å9஻%UfXᑖḄ¾ᵨi.¿☢ÀÁḄ☢1°ᵫï=/(%)>0,x=ax=b»(ag
92t/=஻,/=CᡠñᡂḄó¾Ḅ☢»S=/%
-gxN3°ᵫ5=஺(7)x=(p(y\(஺>(p)2t=3=dᡠᡂḄó¾Ḅ☢»s=·஺õ*஺õ¬4஺.ö☢ó¾☢»Ḅ÷ø:জ.3ḄÅÆiÇ3₝À;ঝ.Êᑖ$%iᵫÅÆÊᑖQ▲;ঞ.¾ᵨ-!ᑏ3ᑖ!iÎÏи¹஺2.Ñ´Ḅ

321஺ùy=/(x)>0,t%=a,x=b·xᡠÂÀÁÓxÑ´ᡠÒÑ´Ḅi'ᓃf2(x)dx0ak.X\12஺ᵫù%=஺(õ)>0,ty=c\y=d·yᡠÂᡂÀÁÓyÑ´ᡠÒÑ´Ḅ--.=|ÔaᐗᦪAᑖÕ}§4.1Ö½ᦪzᐰAᑖ—.E⌕ᑁvಔ.aᐗᦪḄᭆy3.DᐗᦪḄ{z=f(x,y)(x,y)eDàûüD(/)

334.DᐗᦪḄR{DᐗᦪG0°Ø☢஺UÙ0ᐗᦪG¿☢ḄXಕ.DᐗᦪḄ᩽▲ÚÛ1.᩽▲{:Üz=fx,yᩩ1஺ᙠS%0ÿḄ⚞ᑁᨵ஺/0஺0◀᜜2limfx,y
=Ax->x0yᑣZ=/x,y
ᙠ0y0᩽▲ᙠ4஺2.ÚÛ{ÜzDfx,yᩩ10ᙠ*0Ḅ⚞ᑁᨵ஺2lim/X,J
=/X,J
00yfᑣZ=/%"ᙠ"0#ᜐ%&஺ಖ.Ö½ᦪ'/(),ᙠ*0ᐺ

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35l!]:dz="(x,y)=AAx+54yd^=f(X^y)ᙠÆ(x,y)ᜐḄᐰAᑖ஺3.ᐰAᑖzÖ½ᦪḄᐵÞᳮ'Y%&,(x,y)e£>.l;2=/(“4)ᙠ(4)ᜐqdz=/.(%,y)dx+f#(x,y)dyಘ.àᐰᦪḄÖ½ᦪ1r'Z=/(஻/),஻=஻(x,y)#=u(x,y)$.z=f\u(x,y),v(x,y)\dzdzdudzdvᑣ:—_9_+•---dxdudxdvdxdzdzdudzdv•4•------Bydudydv9y2,ry=f(u,v\u=w(x),v=v(x)$.y=f[u(x\v(x)]dydydudydv-----------•-----f----•----dxdudxdvdx

36¡.◚JᦪḄÖ½ᦪ:irb(x,y,z)=0,z=/(x,y),ᵨ'*0a?p1'a?F'lv=_Lw=__LdxF#dyF#zJz2ry(4)=04=/(%),ὡ0ᑣ”axಘ.D▤Ö½ᦪ:a2A工z\XJl9z2axaxa2dzz一(f##%xy=方\dy2_d_)£.(%,/)=dxdydydxd2z_zfex/Ux,yXDdydxdxdy'HKyḄ%&Iᦪ,ᑣ'/.."=&/

37Q0.DᐗᦪḄ£ᩩ᩽1.Dᐗᦪ᩽{rz(x,y)ᙠ("0,Jo)ᑁᨵYz(y)</#),[ᡈz(x,y)Nz(x,j)]00ᑣz(%o,Jo)d",y)Ḅ᩽ᜧ(ᡈ᩽j)(9#)dz(x,y)Ḅ᩽ᜧ(ᡈ᩽j)஺ਮ᩽ᜧ᩽ðñ᩽i᩽ᜧÆ᩽ðÆñ᩽Æ஺2.᩽Ḅò⌕ᩩYz=/(%,y)ᙠ(K40)ᨵ᩽ᙠ(K஺)ô°0▤Ö½ᦪᙠiõIJ/x(XO^O)=0//(XO^O)=0ਭ10(“0ii0)=7>0஺0)=0Ḅ(K,)Hz=/(xj)Ḅ஺2஺ᳮḄd᩽ᙠḄ;⌕ᩩÙ4ᐙᑖᩩ஺22z=y-x+l

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-f^x,y
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39஺2஺p,᪷¤᩽Ḅᐙᑖᩩᑨ§dᔲd᩽஺3஺Yd᩽᩽஺

40()জsin20-2sin0cos0-)ªঝcos2஺=cos2(9-sin20=2cos20l-2sin20--~i+tg2e&Itg3.2tg'e1-cos2042c1+cos2,6ঞ#2஺=-টsiir<9=&,=------------ঠcos~6=------------*\-tg2e1+fg221.%=0Ḅ&'(().(A)0(B)l(C))ᙠ(D);+:A2.-.ᱏ/ᙠx=2ᜐḄ&ᦪ312ᔓ஻67().(A)l(B)2(C)3(D)4+:C3.8ᑡ:ᦪḄ&ᦪপy=x6(2)y=-J=(3)¯=K(4)y=2"(5)y=log,xiJx3X-

41:পy=6x.N3'(2)/=(x4)'=~xC4(3)y'=(x-2)'=-2x-3;(4)y'=2'ln2;(5)y'=—xln3