MATHEMATIC HIGHSCHOOL NOTES, Study notes of Mathematics

TOPIC LIST: 1. Roots, Exponents, and Logarithms 2. Linear Equations 3. Functions and Quadratic Equations 4. Linear Programming 5. Polynomials 6. Inequalities 7. Sequences and Series 8. Trigonometric Identities 9. Matrices 10. Equations of Circles 11. Vectors 12. Limits 13. Derivatives (Differentiation) 14. Integrals (Integration)

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Akar pongWat, dan logaritina Yah sd .d. a. (sebanyae 0 ou) oy qa? > 4 a ¢0 aaa ae 52 Pom gh gman |7L qm = ymin J qm 0] “4 Tam . gun (3) br ols) qn 7 apy® = ar. b® 7 cay" at b _ pe 7 Cam? 2 gm.0 Tuo =bh L=7 loggd =C 7 lo9qQ OD FL 17 log q (0-) = log H+ teGq-& ) lega (2) = tegab-to9a-© 7 logga-b® =F -togab 7? log, 0 = + — log pO > logq bd = wacd —> dori ponyor D cyl09ad a ‘nie é aise ‘ cn £7 109, 0- Fa, = 190° FD Noga = edi 7 (md = loge-A (ez bil. guler) 2 Alogh = 4 & blogg 2M : , x Logaritina bidQ Bigunakonr unre menghrranyg hanyaknuo digit dar penqabaran bilangan berpangkor . Banyoenya dgit dari a? agatah ... | [bx loga] 5) Pet samaon Elrponen i) model pertama ce) am ie a > es ger} model verud a fee) é be @ fex) 2 0 3) model teettqa i} we =b ali fcx)=g cx) =o L, Penyeteraran 7 (For) 79) benrutc \euadrat) \y fog toga = 9ex) tog b- { Keaug Jungsinya tmnear) 4) Model (ceempoy, rr) = C peg]? L, penyetesatan _, 1) Or) = g ce) ii) fex) sh iii) Fos) & fre) dan g cx) iv) Fugeo —— harus sama? 4) .Fungs don perridacramaan = 9naef qangi N= yx) =y% ad sebagai bass (a70 don a¥t) a* 70 qratie » ry yea" ds yea* ocacy PrP. a A\jabar Ct) komurdrtf 2) dfostatt} a+b =b+a a+ld4c) = Grb)ac axd =bxt 4-Ud-C) = (0-b) .c 3) prseriburts ALfbxc) = Ab+ac atd-c) = ab — ac FO ,e . ads be ar bd 2a.c.ad a oe |b) oteet [ are mere H Pemporeroran dan penavaran benture aly abor ) Cozby> = arab? + 20b ) atsb? = Casd) ca-b) } ad 4b$ = carb) Cat+d>-ab) J) a3-b? = Cad) Cater? +00) ) cate)? = 3s b3t sab coed) # Rastonaisan YK LE Leg Va Vata @ ) K 2% aap . CTE +b) Na-b) VG-b Rap “Persamaan garis lus YE Maa Dy-yi FmMCxK-xt) JW. xe Y2-Yt &2-xI 4 dimana pengertran g.senre -yenty qrodien a) m= SY. veut Bx R2-*l Ox+by+c =o |M=-a ’ C) gan's m enyinggang tuna Fungsi (eo me y! fee)’ | (a,b) ax “dx edth 24 we ths tan A Lyika mM negarf gare turun 4 pea m FO, dons mendatas: - Y=ax+b \m=o | tucunan = OY sddex) 8) Garts membenrue sudut ag eX a, 5x \ srea M pomet . gate pare o al f Mubungan wedua garry 7 Seyayat rear misma D kegare Warur mt. m2 ==] 7 Berporongat plea ete Memenuhi wedad syarae U dratnes dun subticus) *7 Berhrm Plt area pentulc yerfamacnya sama Li axaby+cro } Asb-c g: px hice | Put \ ire Potong 1) gudut Oneara 2 Jans > ton a =| 2) Jorne CXEYU) Kee gars ax+ byte =O d= ee &b-YLAC Fungi dan persamaan Vuadrat Ox +bx xe =0 Dz0 bp ebeaac caiserimmany / ar reg], focu atau e penyeleraran dengan Deo cimayt) O@x+P) Cax 4 _ bau ey mi —-m2 L+m.m2 10 # Rubungon atrar axtepe ee co te? Ola Nv «2 2 cfg Q) settsth aca mI-%2 =~ VO a tt Nenyusw perramaan \cdadrat 2 - CTA) x 4 CIA) #9 JA = yumion olor tA = has ou olor HA mhot Akal \euddrat LY akar berteeboliuon C xt .="/xa) UX = 1 0 70 2) akar verlawanap Ri+R2 20 — 20 3) Okar pont (F129, 220) BItKQ 20 MAL 70 D 26 CRI e- ma) tungsi tnvers Fox) a Fr cx) Cl) FOR) = ax+b \ dtatmp vkan Ly = X=b bertouu Fey) =x a MF Cy) 0) Foo soxtb : tx+0 L, = -dx +b BR tyot pungqa vers ox-a a chyt.F > Fost = Fofel =x > Choy) 4 sgtos > Chogon) = ho qitof" 3 Fogsh AFehog7 g=F oh Program Umeat ) perttddksumanon imedf PA Lax+by4e 70 don dx+byse <0 ,/ CALNgaN gars pucus-pucus) ¥ ax+by 2c 70 dun ax sbyac £0 dengan gaitr urn) Merakewean usr trie 0.0). ree benar mara DP Metatul HH (0,0). §rea trdok HIGLO aak ——uv——___., Mis Bet2YS5 Bx+2y> (0.0) 3 benar DP co eae Sask AOU Melolui rire (010) Y-3X20 Df Ly mata diugi pave crete. \am C110) , es 0-301): %0 -3 70 Cratah) # CAPO Menentulran percidatesaman O=Yang verpotengan dg by ak 07 Y8°9 berporonyon dy %b-x ay A¥+ bY -..d.b Artentwuban Gan yt tet # ana opmMun - mats mum -~ byONYyo pada rns yong berPorsngan uedua gars enyiMmun? a3 up tirtt padg pungs. Polinomral 4 puvru vente ayabar yong vended olen beberapa NUkU da meimuor vangvel berpangkat (bulat postr An" + One + +O + Mo Wceterongen N= bnhangan bular posuf An= pilangon redl cuoeFnen) Y conroh 3x54 x 6x *T poi. berderajar 5 ante GAr- IRA poll. berderapar 3 4K oe ott ¢ ve putran poli é FPenjumlanen , pengurangan dl. @conroh pex) = SAY 3x3 ~Sx248 Qex) = Axe 9K ; 3002 Pex) gee) = (exp 3x3-gx* te) (Ax 2x“) = Perlcalian pelang?. L mea arram bon : demapat Ngreuy yang perbe- ‘ar b grea dicurangt +. bra sama ‘vesar Qrou Leb (recrt t > derafac tedUG pollnomag® dicounbon . #cora menentuccon nnal polinomrat D Pubriyo 2) Serna horner + b yrco estecn{ Gi miso: ~> feed soins bx24 ex ad | 9 b ¢ d sok alctbe — picPsdicckc a” qeab/araucsc’ acd abe>sclcrd > Wet)s -ub2agra2 ,b=l LP re Be “4 \ be 3 >for) = 3x" 9x34 yx 3 , $O) 2 3 -2 Oo t 3 | 6 £8 et a ce eo ee | Ye s ae mnie i Untute x 2-2 adalah =2g, tentucan pilai pol. x=! 3p ko Bw 8 Ko=5 ~ 2-2) =-29 “2 ~y 7 = & 1A =-8 8 2e¥ key $ 2 -u 48 -~oe-2) # Seema pembagran polmomral O) cos berrusun ax? +X-8 Yang dibagi ‘ j Vomapel nya 3 / 74 EK7-GX41 aja. Lalu ditcdli RE 48? naka, Rarer R41 ~&K —2U —25 mata nosil hagi 3 xK*ex-8 msQ p&mbagran 3-95 ham polinomral = cx+3) (ox 24x -8) +25 2x3 4 8K 4x24 9x —ax —2u £25 9x34 7K = 5x 41 [Foo = Pex) . hex) + 60x) 4 b yang Evecionyi* now dinagi bagi Jia Fox) > Derderayar 7. mén ptx) 3 berderttar m | way7o hex) + berderarot in—m) Sex) > Palmg tinggi Derderagat cm-1) K-jxe x [$584 6440 slid an See WF—~6x 2 45x-10 HE ~GX" 4 3x PEL 3X 6 ~9X 43 AER SB iT) u Wa ou conten x prs 443 Yong drpagi derepot Paling besar '@ sweMg homer L fernvbagran polmomral Cx-+\e) a 9x34 Fa2=-GK H1 OCH (K43 Can pempuac NOl x43 =0 wa-3 3/2 4 \ =3 —8 —> sts t-te loefren houil bagi HB ax 74% -2 b pemvagian Polinomral Cax+b) salt al nex) a igi 4R°S BEST OI -5X +1 oleh ual = 2) 2 & 39 ae 53 2 wR 3.8 5 = 2 10 (1) — hast nya . oC alan dipagi WB = 1b cax 10x 410) tcoegren pembagi = x24 5x45 (x -3) ini b pemdagron patinomral gieh CaxF2bx4C mal > Oo lx) a ssa SeX tS, -S2k, Dx" 3x34, ax? ox <1 ON yt _5x 4G xtSx 46 = ¢%-2)(%-3) Ki=2 va =3 uo -2. - \ Beg e “Oe 6 wu 2 $F 2 (9):—S2 WB = ox* 49% 423 OA= Qiry + 2— (91.2) = OX ~181 Mie212 3 4 e223) 2 (elemanan = fcuddrat nyo Wanya yang bia Ostatnio) #Teorema viecd OPersumuan buadrat Ax?+ bX +C FO OR 4X2 = -db/o eo XU.X2 2 Clq OPersamaan vapix Axes bxt4 Cx 4d =0 © M+K24 43 = ~b/q © M2 X18 4 xca.n3 = C/O o KL XD 43 =-dla © Peramaan tuarr* OX 4 bar 4 CK 4dx4e =0 H Perctdacsamaan kuadrat Bentuk umum : NOX OX 4C 70 b) AX>+bXac 40 O ax**bx+e 70 a) ax?+bx+0 20 Himpunan penyelesatan : 1) Buot ruaf tunan =0 2) Gifoersreah ¢ MUS + aC 3) but pembuar 0 4) buat canda +/- pada Jans vilengon Gl ax42x46 20 F(R (2¥43) 70 (ya) CAx43) 2O0E— Menunjutean Paley Ox = * sebagoi HP , fag ~ t RAKLAKBAKY = DIA HID 1-3 4 KL KY 4213 4.. 2C10 o RUM 3 Hac OXY AHL KBY A LIAY 2 -d/, © MHA 9 MY Fela -3 = Cs tieseneaten +i Gengan percaran loetmen B 3x2- x-2 co Wx=2 don X24 adutoh oker pervumoon XA px + Y 20, maka ouar berrga adalah bet u)+ X32 -2 2 4X2 2H i : %3=2 Q) aan tan sain Pertidaksamann Helfarnya Cyreo aq yp) {) dtc 240 Na -c >b-C 3) a.¢ > b.C Cer), aC Lb. (ero) Perttdakyamaan Unear a) DX4+b -2exc 3 — + berbah tetra e—— pangicar yunpiy | + + bebop icerricy Soe: Pangune genap Q (1K —1)* (x AL 2) 7 O XLT ZO R74 PXA-3x42 2U+F Coratelan dricudd rat) (2x4) (X~2) ex+1) 20 + + sevagai xed x=2 %e-l He W-4ux-5 20 ae & (X-G)cx+) $0 e ei -, Kes tel = baa | ei i 2 bani (coepsiennyo | semuanya drinecon . 2 gangl 2-1-1 = Gant genat P V2 Zz, AES XN 2-4 atau X72 FVII 7 t © nol cirele (é 7) * ie : —_ ; @ Ful sebagai tieiierer ta eer Hin pun of C1 < ats Penyetesaion }C) > < atu > Wx-3 25-x wet x ag [2.0} 3 2s0mparo | 7? *-320 ag (x+1)+ (%- ~5 "43 (x-2)?_, 2, 9 5-x 20 atau K-97 95~-lox 7K” ®=3 poten pol X75 usow (K-u)cx-7) So @ p26%43 cargabund) “Ew x = = sepagai us } af 2 3 HP nya genap gonnd —-Gaangit J baru iis malcu x 74 cel #Peorttidatcsamaun pecahan ml % 7-H gawebnye . tidal te) u boleh lea sian 5) 9cx) #0 Mala blasanyg menjadt >atay < Benrule umum = foo a 2 9 cx) () tugs vanan =o 2) drporceortan 3) guar pempuar 0 4) banda + (¢- # Dertigacsramaan tasional Dex < gear) aeou Ven < 90x) syarat + ex} 0 dan ger) xo Langran : wuadratkan ham Hey A HP, o) rey > 9x) syarar foxy +0 langeon 9cx) 0 \ foo ana Joa zo al fact = (fod = gex) Fad one . 1a < te ~ Geox) A Fod =lgoc| diuadrecvon Foy =Ycx) © Benruc unui yifeot } 3 K*-3K4ALG0 E— a ‘4 + | - [4 { a | He ox-5 4y ; { 16 2x 49g : \ LiGoOnometri identitas tPerbandingan om icos (tan and =a t ) si a bcos 0 = b r Cc c)toné =d sng 6) coSec zi 26 b 0058 sind q see za 2c cose 4b POPs, 24 ane" q # Uuadran dan syudut iscimewa E (99°) all peo 07 360° C 2m) (190°) to.0) Cos Crg0°+@) | 6360°~o) 3 cs) StL (270°) q 30 [ 45 60 Te) on{| 0 | 4°] due] ag] 1 cos} 1 [ovgi ava] 4 | o fon} 9 ra 1 VEZ | = # Gruran cegietga aymus oe a Ben Be b mA SB snc b) cosinuls ry Q?= p*+c*_ obe.c0s A s b? = arsct— 200. coc 8 OC luas segieiga = C= O-+b*— 20b- cose, L=y%cS-a) ce~b)(e-c) §= 4 Ca+b4c) # konverd sudut TL fad = wo? a) yo. x° _&.190° y % 2 XY Trad ) Xeod = 4 Hidencieas trigonomern d) sin?® +c00?x =) b) ton?x4+4 = Sectx oO 1 £ cot?x =Csc*X # yumiah dan sais suduc 4) yin CAL B) = MMA.COdB + cosA mB b) CosCA EB) = SNA-cosg =E Cora, ssB c) FON CAB) = tona+ tan B LF san A .40ne # Sudut rangkap d) a 2A = 2-SMA.COLA GN MARZ INA, cosn.n 2 poy b) cos OA = Costa ~ on 7A = 20S =I L- oma = 2 c) tan 2A = QD eanA =. 1, Sebaum A Totonta J 7 D sobeium. A # Jumlah dun ceieth crigonomern a) MN A+ NB = 9 (423) cor (S58) ze 2 COSA + COsB =z 2¢ és ) 8 Of (4x8) cos ( A=8) #peravian ergonomertt a) ASN A.cOPB > GM (A+B) + ON CA-B) ¥) 2 7A .SNB > Col CAXB)—Cas (4-8) ¢) Loe A -coSB = Cos (A+B) 4 coscA—¥) # sudut paruh a)vinda s+. / 1~cos > v bem b) otha (cosa 2 ra) tanta = +4 mec a L+cocd ) ban by = {-coca Zocene JNA i) ton da > ana Lecost # Persamonn trigonometri sederhona eOrasie om: Matriks eordo = bans x colon pe *operasi macnice : . wel apa b aap bt 4 ose B*R sou puraren La ele i [ Ctr od af 9) Sto fre) = stn ob Dk f (2 2 HP, -fea =A eve. 360° pas c ° WD, = fed = (180°) +. 260° ral ‘i (se Geet HP = HP, U HP Pedr cq 4d 4 2 Syatot = mxn.axem @ graf cor: fex) = cosa * Aeterminan oro 4B = * ee M: (a 5| -5 IMI = ad~be woe d & |mMspave dbctab a) én ee serl> [Gerla ght ahi lan . col Fx) = cosa ue aetensbon cdh~(eg+afh+ bdr) e sfar derennioun oe FoR) = 1+ K.360° a) [ATL 4) 14-81 = tag) + Fo) = ~ol 4-366" b) tale 2) ta¥| > Ai Hp = = HP, U RP, © iv-al = KAI n sore @ grafik can « Mariel tronsvos Fey=tand | barry fungsi foy =a cor Cex +b) +€ Sama Tumumya 2 fnga fu) 2a bon cxx-+b) 4¢ Q) Persde = TT K = \alac oe (Nvers tharntcs ve = 1 dy) adjom = Tal trunsor aa See (3 -h Morstes rotator ad-be 6 * uofarcror OF Up) = lh #|- a Fle (8h “le \s<|- -|% + | be mle * Maries denftras T2>M-M4 = ) ot [. MM =/ loo (3) ¢ Penamnoon manres AB=C 3 ACB! -y Bs htc f 4u? ~tore -48 =O ke-2 y kt -ure -l2 20 fe Cle +2) (%-6) 20 \ © borasan nitot P agar gars pxay 20 d Memorong Ungar pusarnya (1,3) dan verre -fert { drdua Hite. > Cxe0*4cy-9)*= 1" M4 2x a+ yng =/ XPaylaoxsy 4g =0 1 rasa Y= -px 4? + (px) t 4 ox ~6C~px) 4g =0 | A + pry + ox 4 6px 4g 20 CtXp2) x? + Corep)x +g 20 | b?-uoc 20 C245p)2—4 CL+P2) CG) 20 2¢.36P2 4219 —36 Cl4P?) 70 4 ¢95R? 4. UP — 36 — 36P™ 70 oip — 32 ro Pp >? 322 3y Po>u 3 “H# Perscimaan garis smggung Linguaran a) Melati rere A(Xt, yr) @ Pusat (0.0) > {xi-x+ viyer4 ae © pe sy%=1g ,melatuy ey (213) Luji cobo duty H+9 =13 4 feral 13203 J moto 4 AX+ BY = [3 Lat (LA) Rst eye eH b) dikerahui gradrent 4 25 Sut at sy [ ~4¥+5¥-48 20 6) Benne wnwr' RM FUULS Alm ax) 4 2 = | Age tag) at =0 Yearia donb by puak clawam ben tuk boxy b napus sama icy crores L cance ? f¢ ‘ J COro Menencuran yeeol posi dinak dan Loefdinarnya aya = O Ac4,3) don 0 Cox0) OA 2 [4 2 [4 OA = fap aees a (3) y — ftmenenturan vector ell ‘ Bosiss ujung ~ V- Pomsi pangtcct | AB = b-d 2PC3,5) dan AC H-3) Pa = 3-3 3) = (4) ? | Odie vewor ph: (4) dan trite @ (5,23) (3)-( a {3 re uy }°(3) Lue vewror 4) Penjumlohan dan pengurangen dl 2 -i 5 ad -(S}(5)- (538 eae: = (£4) cr} it = Bar Be) we fyrudysoteese ») fesuiten pada Rd % 1sb1 Se c *\ (|? |B[7+ adr Il cose id zt Id-bl = tab 9\Tiblcosd caracan = vector C-) panjang sama tapi yawon Saco © return pada pR? = (OAL = 148i = auteur 712 d) Hefamaon veleror a= | Xf x2 4 xt=xQ (i) -( n 3 Yr eye Grah dan panjangnyg Sama ©) tik yang segans cicotinedr) AB 2k. 62 8 aR 2. x a 2K. rd jG, C-t5.4), 80 2-1-2), c (3,1) tentulan ana m+n AB = k-8C Je 3 ee (mat) ~b +2 t-d@ = K.(2-5) -1 3) (2 (3)-(3] «(8G ak =3 3-6 = Ken+2) 2-6 sk im+a) -2 = n*7 -6 =3 (m+9) Sy “2 = May > (3)>+ (-u) m=-3 # Perbandingan yeetor a) datum =Ab:eg= m:n 4 (ry.ya) 2 Cevyp) B (x8.yB) ee Se m P= mM xB+ axe man Yp = MYR + nya Mar Galam bentue yerctor = in Pzmband men 95 5 Woy n citik -engah : met m 0 Af: PB=m:-n Pp = 00 +n-b = # Panjang verror ) P29 Vieaye =tl [ia (0.0) 23 3a Vxagyrteze {rca dteetanui 75 2 aa-mt + GW) d | dit tree, © OBE? NV 2m)? + CY) # vector saraan veror yang Panjaaggnya jot. Vektor SatUan Yang seangh veuror F adalah a wg in Pike ee ee | #Operagi Umit “0m kek a bien [4o0-g cay] = Com fea. tam geod aaa wAq0 AG 1) &m xa p ap Fe mateo teali sacawon vad Pais Ger) 4 9¢a)=0 Hem A n 3) fm fa Pie Cea" = ym, Fey xa poi alt oe 4) Sra [ $x) 900] = ee cp = am Hex) xa %20g (2 tn, LVinvg 24Vaxcy AEE ( 2- ~VOR= y Ti >Y Cesena = 4 ¢ 240z) (24. Vixay) "TH = axa ase) (7 Q0NR) Cae Vix) _ (apg) (24\aae) (8~3") (reve) 2CH~x) (2+Vagee) , = C-TRI C24 Vxcu) si 2 CHR) OA) (045) ‘ee 20+q ) 4 ON X | (24+V acu = 4 +203)) (2G) Puig +20) (2 ® HFG EY foal (xeu) Kg aan a6 4344x" =) GRU AIG xo eaK =X 4 5x? + 20x Oa) (xtaunexcu) — Orr / as (x x’ i ') Xie AUIS aK 5 une l6 zx LKQ) Cx} xe aK 7 Kx ab nt Crd Oa) | EF a a GXSe gx? 8X AB — =, x Cri) oer av eléx —" “1 6 4 ~ x2 8x 16 -x? Dx oe RYE Oxd 4 IPX2-Ox -16 | as = &Cx349%7+ suxat6) [# MeawOextesie a) XUAE) CTE TU =o ey Hux ~16 VA = <5 5 nae tb #Limit cau hingga id a) konsep dasar Misal fox) = L xtO haan mendecoti o - Mempesar /mengecil 00 oo |—looy ... ay" [e4 .-{ wo 5° FA) O | -O08 | bel |. o,01 rm Im 4-0 ain k<0 &3 007 x9 +00 = rE ee [se ~ as 2 —> % nya - by, Bentuk umum dan penyeledaian 1)Orm ate bx" Te extn Pe % 00 Pa qamiaram te... heme dere Eh aipintbaans 74m 306 —oo Cadan v peda) ia —\ipx+q d=p—-o0 Qzvp +c gaze - - ~O ie Vika +V9e5 Pasti ydwabannygd od Sim Vaxtapaae -VeRtqx at X40 4 a=e — b- b-4 Ne A2P » +00 a

Terra tak benty (9; m,~<0) 4) i pe be b) ‘eG Umit Ucn t xa d’ 0 ae Lmenggunotean tentitar onormertt ofan — , cotta sm9x coogedima), An GOBR =X COSx = sV2) tain sana) F cosetma = NGA 5 ae aii 7B B) ramud Umit . Bm an 2 unex _ on Ak _g ™90 Te RAO MOR efrm tanox , ox ag eso he Gamba” b 2m unaar y banax Lo fetO: oA Pee ae b . (ey ed deed kay © RE xed K+ (I fate er ban ox « tm mar y a, 0 Gan vx “gn vx *. a (seis rach = 2.907% 79 o'r. ‘ te tOD 9% ye. tan ox 94 Col ox= (-20m2y 3 - QINA% = 1-COlx Be. gel rs) ha L-cos?¢x-2) _ rp? 2) °? Seu” THEE) J Cm fn? 2) mira id wp? Cp) ¥-190 BAC 30xg)2 k-25 =p © ~Fp2 = OK?) at -C) sd ae “3 3 H Limit bentur e Sex) lim + x witacte al 4 Olm fs L ted. =f (+h) moO Ad = Dirk "Fs Cosy) {Se piecge Lyvarene masth ado h'Cx) Moge = 2 hie) hex. hex) tn-6 | ee =lnga) 3 gee) yr ae an qe) 7e% 22% a g'cay tnd @ fex) 20% 9 a* ln we faye ete)_, hice}. gh) [ Hiurunan tgonometn Sin X 3 bos K (ose A~MAX ton zx 3 gecrX cor x — —csc™X SOCAN —y Seen ran x CIC X > ~chex. Cot x -} Deromaan pigonometn CPANGIT) y= ons (x21) © Pangieat Y = 3.0m? cx*st) ® furgyi Y= gomcxtat). uth (xd) = 9 si C741) - cos [Xt*1) pidut UY = 3am (x2ar) cos CxPst) 2% = GX. xP) cosexdet) H apuvad turunan m=$'cx) =*O0 9 + end sb x* G }tx) =~-2243x-4 pada 4 ¢2,-2) M = ~9%-43 -» Qradien perubon S moxo pada pie Aa m =-2(2)43 R-443 24 Oza 3k -Y tT Pate turunan Y-yl = m (x-at) a) garis normal (garis yong tegale \urus og GuNI smggung) Y-yr = Mn (x -2r) Oyraxad gi ome (art) weolor ag y Meat ame4, ae dan b= YAe-ashb mrax'+ pan? ibe | | =Q + -2D%" A

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