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___mynx_ _t____0_______g_____ ____ _,_______D_ggog___t v________l___________________ ______n_____tr____J___&_________ ____y__t__________________r___tpt______________t ______m4____c______t__&_%___________g__?___m____g_____m_____tx__rm___m1t_________pt%m__t_____________gtx__7____nmm_c__w_mx__th______9axmt__t_tv_____l_a__rw__m_0__0___lm__?tf__ym%____ng_h________nn ____________t___0__ ___g_____t___r_________r______ l__l&______g_______g_____0______0_____0___l_c_______a___)____ _______t_____t_r_t_mtc___0__tt__n___________________0__________________ttt_____________t_1__________?0_D_t_vo_0___0_t0___________v__o_0____o___________r_______0___?___4_____t____________o0______t___n_t__)____t___?_______r_t______lt______m__3____o_________v_o__n_%mm_M__4__g_cn____Jgh_m_____0_______m________M____xxN%__________________c___m______æ%_9tmm____fm_t_t_t___________r_______m__t____________r_t___*___M_______x____________tn_M_____q____m__xmt__m________txx____yrn____h__t___t__ ___'Xl_"___^ '_ ''''c _ 0 O___ _ _ ____________n0___ l_ c_o 0V____ 0 _o_,_M%__axnm____7w_i4____M_____t__-_t__at____Mt_y,m_______%____ __'________. _ __ - - - ' ' ' ' _ ' M m__ __ v _____m__M_m_M%4''_____N_M__nX_____MV_nnm'_______' m___r____9mn c _ _ m___m___x__i_____._ J ' _ ,o,, i _ , L' _ n,_____n_____ 9, __,,,,, 0 ,,,,,__u0 , _M c0 _____t_4_ ' '' 0 0 _ 0 ' "_O ' ' _' _ _ _ _0 . _ __X_t''____t00'i___ _M_ 'X'____:___W___i___9____m__._MM'___1_'______Jm9Nr_'_t___.____x%it__rr__-'mm_K_.?____r1____, T__._____r_____am_-_._-c__N______t____, _ ______m___xt___J;_ t_ _ ' _ 0 _'_ __ ' _ ' _ _ c ' _ _ _ _ _ _ _ _ _ _ _ _ _ _ W _ c o _ __ _ _ _ c ' _ o _ _ _ _v _ _ . _0 _ ,_ . _ c __ _ _ ______ ____m______hi4m__,,,____m_ ___ __ __._ m4 q_l, N% __ m_ _ mm. y _ _ _,_ , _ _ w_ _ , _ _.,,, _ , ,_. m , m t, _ , _ m __ , _ _ m _ _ mm_ __ , , f_. _, h _ __ _ _ _. _ _ M r _ y, f _ _, _ . _ m _ f _ _ _ _ _ ' ' '_ - ' ' ' ' ' ' _ ' ' _ ' ' N _t_ _ _ _ _ _ '_ _ , 'o _ ___ %___ M _ _ _ _ _ tm ' _ _ _ __ o___c _ _ _ __ _ __ V ' _ _ '_ _v_0_ _ m _ _ % __ c_ _ _ cn r _ ___X4________i_tn __MWMq_n_y_4W_t_my__,?m__m_ m m__ _ __ 1 y _ _ nt _ c__ x _ _ _ _ __ _ _ _ wy _ _ x _ t _ _ x %_ __ _ _ _. _ _. , _. _ m _ % _ _,,, _ tx c _, _ M _ _ _, _ mt xr 4 _ _ _ n . _ ' '''' ' ' ' ' _ - '- ' _- l _ _'_'_t?'__ ' _ _ '' _'N - v'__'__%'_l_-__iU___qiM_M___R__ _+ 0 ..M___r_____ __ _ _ e9_' _' _ ____ , 0_ ? _, ' ' _ M___%___?__ _____ ______ c _ o w _v _ _ _ __ _ ' _ _ ____,,,,_ c_ _ _.___xmxY__y_An_ K_________ _ _ _ 0 ' - ' ' ' t _ __ t_ 'X__ tX^M __NX____'1t_S_____M________ n_ _ ,c____ _n_ ____.__ _0___oi4__w_tm,_ . - '_ _ o_ i_ ,_! _ _ J ' _ ' ' _' ' ___ r _ 0, _ _ . '_ _ _ _ _ _t _ _ mM, __ 0 _ o___ _' __ _ _ o_ o? _____t_ __ _0c_ , , j _y___mwmc__q_.n___m_+__N-___x_m__._,,_,_y _, _.n, _ n_ w,.t _ ,r _ _ _ a_ _ h '' ' ____ ^' '' J _ '' ' _" _ '_ _ _M_ ___ _M4_'__n 'V' ._ ___ __ _O ._.mtitM _, _ _ _0___ __m_M_____mmf_rf_ _ _ t __n t rf __ _ i 0 ' _n_'- ,, _ ' __ ___ _- ___ __'_- ^_'' _ __ 8 _- ' , _- ' - ,B _ _ ,_,,0, ,,,' 0_ _i _ '' h _ ' 0' __ _: _ 0 , _, n, _''_i_d^"__'^_ _ _ ___ ___ _ ,'' ' 'O _ _ _' , , .__ t _ __ ' _ ! ,. _ _ _ _,___n_ _, n r_m_n ' _ , MX__ , _ _ _o _ __ _ __ __ o _ _ 9 c _ _ _ _ __ 0 ,____________n__a__Mr_NmM_itm__w____mMm__m_t%_____f_r ____ii%iim_ __ m __ _ _ ' ,' ' n ' 4 _ ___1 _t v V __ _____0 o__ ?_t m'_W_M' _' _l_MXM____I' _ _ M _t % _ _ _ _ M _ yav _ nN' _ _ R _ _' _ _ 0 ? _ _ _ _ _. _ r _ _ _ _ t , M m n ? _ q _ M _ x n m4 _ _, 7 _ _ I ' _ _ f ' ' '_0_ __' r ''_ _ ' ' 0 ' _ _ _ __v __0 _ _ W_'_ ' _ _ __________ _ _ c _ _ _v __fW__'__,_lkr___,mchr___t_mhM_Kr%_Mtm>%__mi*______mmn%,_mtw___,_______xmMv_________.m__%__.___n__ _ __ _ _ _ _ _ __ '_ _ __ O ________mm_ _ _ _0_' % _ _ C _ m _ , _ _- __ _ _ _n c _ _ _ _ . '_ __ . m - - ' -_ _'___ _ _____'_' _ ___ _'_ ____o_ .Dw__ _ __________m___._______ __ _ ' ____mmmN___Nanm_,m__m_,_,,_,,, _m_hm _.,_,,__.__.,__,_________._____,_,MK__ m _ _ ' _' _ - " ' ' l ' ' ' ' '_ _ _ _r_ _ _ q _ _ _ _ _ _ _ h _ _ _ _ o 0 _ M _ r My _ _ _ _ , _ _ _ _ _ _ _ _ a ' 'f ' ,,,_,.' - o __ ,_, _____c _ _ _ _ _ _n _ __ _ _ __ __ ____i___t__ __ _ u_ __ _ _ Aby______0_ ____ ___MM______r___y_hm_-____JM___n%_________n___JxM,x____ ___rx%_v___,y4rQ___ __ _ __ _ ' _ ' ' ' - ' ' ' '- ^ l _'Y_ 'm _k_____al_____t ___n__ _ e ' '___ _ _______x_____M_____t;%__ _ _ . 0 _ _ 0'_ _" _ '__ _ - 0 _ _ _ 0' _ '' __M_,__t_ _44w___n___Mm_tM_______f__ n__ _ 4___t _fM_K_,_m___4_mqmm___tM_m ____,__ , n_,r__ t - ' > ^__m____miX r^_ "_'%_' _l_%f'___M_''__'''___ tM ? _ N'___i'___^_m_r''_KMM_JM__________MY__l_ __X_ mN__i ''__ 7% _Y__ ___N _ _ t_ _ T _ _' _ _ __ _ __ ___ _ _ ty , ' _ 9 _ _ x _ _ _ q _ % _ %t _ xm. _ _ m _ _ _ _, _ m _ _ _ t ' ^ 0 ' _ c___ _ _ _ - _ , _,._ v ' ' . ,_ o' _ _ 0 0 _ ' ? _____Mf_____t _ _, __,0 _ _ _ _ _____o_ ___ w _ ______ __lC_-__4riM______r__,_ _.________%__4 nm, _ n _ _ ' ' _ _ ' _ ' -' ' _ _ ' m__%_ t__ _ _ _ __ _ht_ ' ___c_0 M_' _ 0_ __0 r _ _ ._- '_ -' ''' _ ' ,. , 0_ ' ' '_ ' ''^_ _' 'O _o_"___O__'''D_''___~_rmm""_""X'Mm^ ' _ '__'_, - _ . J _ _ ,_ ' __ tn__ 'W_?____Ml_____ __X___________ ___m __m _____ w,__K,_n4m _ Mm _mn .m_ ,,_ _,%. , _n , -' - ' ' _ ' M _ ttW __ ____"_sX%hMNr JXX___'m'lt____nt'__Mt_t_tV_itJt1t_l_,MMt_r_'YxtMt____U_t_____XX_m__X_____M__t____Mi_n___'t___ my____i ____ _ _ _ _0 _ o_ _ , _ _ __ _ _ _ __ c __ _ _ _ _ _ _o g _ 0 ,_ 0 _ ,, , u ,_ _ 4m __ _ ' _ _ mm _'____ __i_K__iihCMr_t&v____xw _ __.______fW_.___m_n__N%,q _%_A_, _, J __7 _ ___ _ ' ' ' l ~__'i '^''_ _'. __ _ M% ___'__ M___M_'_-___fm__t_Y_%N___4___?__tt___Y______r___t,____ _%__w______m__ ,0 , _ _n ' _ - __0 _ 4 __ __ _ _ ,,0' __0_0__o_0 _ _ _ _' ' _ 00^ - _^'_ _ ' _ __ ' __ n ___ _ C____. , __ _ , _ _x___ 0 __vr_____m__r _J___ __ ,v_ __N__,m __ _ w _ _ ' ' ' ' _ ' ' _ 't_MN_ ___ m ____M%_ _Mmrt__ ^ tcx'__n_-___1_t__J_ __ _ _,__ m____m__,h___w_,__H,i___, _' ,_ " ' , _?_____. _,_ _ _ n _ c_ _ _ _ 0 __ _, c _ _'__x__d ,o_6_____,___yr_____ ,, r_>____,,4,,,m__mr,,c_; .___.._____n___xmxn. . _ _ ' ' ' ' ''' ' ''' '' ^ ' Y t _'- ^'_' __m 'X_M'_"''_MXM___'_m't_l_'_Mm__'__f___h_'_'^_"'t_'' ''N'"_M _______''M___"J_'_in__C.'_f^___'____'_.__M_Y._r_'__M____MN__ _r __ _c______n____________mm_____4__t_ _ - ,' . f __ , _ _ o ? - i_ __ _ ____7____m________.________mM 0 ___ _m__v __nm_,Nq___,n___ ._%,,,._,,_ ' ' _' M 't__t''i '___f _'' _'" _'_4__' W'_^' 4_i Xtt'_tWC^t?Ml_i_'_1_____N_l____^tX_''tM_tm____V __t_N___hNmhMN_ x____n'_'Ct___C''.lM_n__m%____ _ _r___nm,_tcf___+%m____ n _c____,______ . o __ _ n,_ r 0 _ X"th___m___u_ mL, _ c___ __0 9___ __c 0__ 00c ,__c c,,_tW_ic_,, ___ ____f___mm____v_,_-__________4m_, __m _n_ _ _._ y_mnq, _ _ _ _, q m4n . - / ' " ' ' ' ' ' ' ' ' '' ___r_M_M_M_MiM_W_m____C4_J_m17mmNm____''____m_%i_'M_____tXmi___1____mi,______x__Mnny_Mx_ ,0 _ _ __________ __ _ _ _.,': ' _ _M_M___hM__-_W_m____qWMi_t_J_m_y;_n__Yi4I__x_m__v____v_____%in__4__,__,_4rm__,__.m_r__,n_J_,J,,._ m n_Mmq_x_ ,.. .__,__, ,. ,,,,_,, ,_ 7 _ _ , ' t ' l _ ' '' h "''~I'__f1''' ' '- ' ''''_^''_xW_____''rt____'__'tJ't__''V__M__%'"9_t_?_NM'_X__N_^'__'V____'i''iX___,M____T4nn___.,'_______lMt_1%q__W_______ ______t' _._m____s,,__,__t-____ ' , , _1 ____Mr>M___t____________MMK__r______-xM_n_Mmmn__,_r___.q__mvm____ r_ __,_ _ % hv _ _ x m,. _ _ . _ ' _ ' ' _ ' " ' t_' 'nn_ _ ___ __X_t_^__ _K_ _e'Xr'JlW____ l''M____M__m________mh''_'_____nx?__'x ___c4i_ __.'_ _ _ _'__ q _' _ M _ _ _ y m _ _ w _ ft_ _ m x _ __ f _ _ _ _ t. _ _ _ __ _ n __' __ V 0 _0%'_____t____t_______________;_____nt__n'._N_wnm____rN______vt__N_____,_____J____,_,m__v__,,_,_____,_ym,____,___J,t%_,xhm__,N _ t,, .,xt,.m_.,_ l___n _ _m,___ _a_ _ r _ ' ' ' ' ^' ' '^ '''"'t_'' r ) ' '''' _l ^'_' 'M_'m_______-___'h' rt_tl____'M_''_____m_n____N__ll_X__4___W._inh_r__K__m_r______t_%X____t,%K___k>___YX_l__rl__._____ht____ _v _,,_ y _; v 4 _ __V_M _ _________ _, , _ r_ __ 9 ___mq__, , , ,, %M_y____nm_m_m _ _., _ __ _ ___,nm_ _+r ,. _ _ _ ,_ _ _ 4 _ __ _., M _ , _ m, _ _ _ ' ' - _ ' ' _ ''' ^ ' ' 'M' _ '"rn "___ ' m_ _N_V_ _'\_'X_'W_M__'_%'__'___'_t'___h___J___'_t__X'Vt___'f _ _ _Y __ _ _m_ _ m M _ __' q: _ _ _ t _ _'_ m _ _ _r t' _ _ _ _ _, _ % _ w _ m _ f m K _ _ __ . MM _ _ _ _ _ M % _ _ _ _ _ _ , _, , _ v; _ _ _ _ _ _ % _ _ _ _ m _ , _ _ _ m _ _ , _.,_ _ _ m t . __ m _ _____ __ 0 ___ _____n_______r____y___r_____mm___M_,___,xm__%..__K___M_,,__m__.y_____,_,___,.ff1_N___.ntn_x_M____ _fm . , ,4 , , ,_ , '_ ' ' ' '' ' ' '' U ' ' _ _ _ ___ 'm _ l_m __' _____ __"V_M___t_htM'___It_M_ 'mlt____'M_i'__t__"l___tv___"Cm___t'_______y_z tm _*h,nm_,_ _N2 _ _ r4_ _y_ __t _ _ _ m _ _ q _. vcm M _ _ n , o _ , m % t n _ _ m _ _ _ f,' ' _ _____ _ _ ___' ___i___m___i__t__rm_c_______'______n__m__y____x____,_-___wA.__nx1_,__r1,rm___r__,__ __1.mvm_._.__,,_,nn.,n,_ ,_,J_ .,_,,, % _., _ Y ' ' - ' -'' - " '"-' _ ^ ' '_ V"mt- %l'' itv" _^'"'n_ _' '-_l9_t_t _M _n_J4'__ _M_ _ __ _ cMN __ q__ _ m _ X__''_ _ _ m' _ î t =_ _ _' _ M _ f' _ i_ _ _ l _ r_ _ - _ _ 4 _ _ t , _ _ X _ _ l _ _ N c _ I _ _ N _ _ rt. _ m _ t _ _ _ _ vy _ _ _ _ _ _ J _ _ _ m y t _ _ _ _ - _ _ _ , _ _ ,_ '_ _. M___""___- __m____'_i___X___rX_MXmt ^UXtmt M___ _ ' '__Yn_'__M_nf__' __Wft__ _l_. ___,l_%%__Y%_v_mm M_ q__, __ ____ __ _ _," M__ __ __ _ ___ _ _ _ ,_ __ t__ __ _ _ t x, _ _ _ _ _ _ _ _ __ _ _ _ _, _ ,, _ m t _ _ y _ n , , t.) _ _ _ __ _ 4tt _.,_ __ t _, _ % . t ' ' '' '- ' ' ''' ' _ _ ' '' _' _-M_ __ l ilM_ t o. , d_M__X_M_X_0fM_J___x_%____ _ __ __ _ _ '_ cc_0___c0__0_ 0__________ _ 0_______Mif__tim.__m_N-.r,M4___.__w___m_m__..__nn. m__f _ ' _ ''' ' ' __l1 _ ^ Jm lI___r' _____l_IXM___4____Nt.___i^Mt'_tl_NCl___,_____h_vmWXit' _,_î___._,n______it_P_____n__1_,_t_Wt_'4n%____r_____f___,-_______v_,v_m__aw___tN,-________m,,__ qr -! - ' _ __ ' __mr'M_____t_ ____'t'Y_m_'__n_m_ 9_MM_W'_r^ __ _i't_YrY'___m_>_' -D 'tM_Y_X_'_%l__i t'_vmMmNf_xxr__________mI_m____wh_m_%______h__wn_ _ _J ,___IJx__N_it,___m __ _______ __% y_ __t____,___ w_____r_t.____ - ' ' '^ ' '- - ' __' V ' ' '' ''_ l _'___'mm_-- ' _ 1l% __ M ,' _t_____M____t___-M___t_m____'____ _ _ _'' ____M__,_______00 _, 0 __,__x___xnl1c_m,m,_____.__x___._._ _n_%Miq___m_____kt____MnM__v,_m_,_) .___m. ,_,_ _ , _ ,_ _ ' _ ' ' ' ^' ' ' "' ' ' ' _ ' " __ _ Y_ 'f_ __X_W_M_l _r__f___5__"_'_J_ _t1t_%__f___ti__'Y_'_rN_rt____'__l___n_X___XJ_M_'___t_'i "._rmM__t_'_.__ 'r_t___Vtl_'___Mh_h_%___.___.__'J2_X__7t _,W!_y___n_xtt__M:______,_m_x_,______n__n._A_ _ _ _ %- _0___ _c ,__,0 _ _ _ , _ v, __ , , __iXM_,M_,_m,___m,_,__N,Jh_m_,m,,,,__,__._m4n_,,N_,_ ._n_v___._,_K___, , _ __ - ' ' ' ' ' " ' ' ' ' 't__q mt'N_ T_"_ ' t_"t_____'_l'l_^tt______ _mtM__iV :_r_'_lt___M_t__M__ __'^m __. _i _i __ __ wt _ M _ _. _ m t _ _ _ _ __ W _' _ _ . _ _ _ t _ m c , v m _ r _ _ _ _ _ _ , _ M _ _ _ _ _ _ _ _ _ o _ c _ y _ _ x _ _ _

Transcript of J ' ,o,,i , L' ' ' ' c ' ' ' ' - ' ' ' ' ' ' N t ' , 'o...

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___t____________________________)_____________v_t_gtr3_____________/____tt_t_______h_______g____ _____tt _________t___n___t______ +__ ___ _tt__0___+tt_r__0____n________&_0_________________7____t_________t___t__l___t_____t______tt_____t___7r__h___x______________ t__l_0t>____________d_D0____0____o__ 0t__t_________0____t___ n______r____t___ J____l_______________l__0_0___t_p____nMg_____n__n4N___ ____t_t_tt__tr__t__________t_______L__/_________J_______t____t_t____t__t___t___r_____xy__ __ __h_______4_wtc__*_____tr____hv__________t___t____ rt___>nq_t_____________t__t_ tx__________mlt______çt__0th______t_t_r_m___rt______r>_____v________ttxtM____m__r___________ _t______t__m__0___t___r_q_x_v___)l___________r______t__t_____t_______tf4_______________________________c____ _tt_xd___q__l___tt___ t_ _ )r_m__c_d__N____t__tc__v _______tt6______t_____n/___r________l___________s__ tt_r___g_p_t__t______tt______l_t_r_Dt_tt_tt_r____v_t________t_______l_____tr_______*_________ ____v__ ______t____t_tt______t_____m___r___tt____m____t_____t_________lm__m__________tl_rt_nyt_____t___t_tT_lt___t__ttl___t__y__y_t__t___ r__t__tn_____l_______________ _____n__v___________________tmc__r___y____ t_ ____l9___t_ __t___zvm___t__t_tr_h___t_ nt _t_______vqn_l4t____1__ _t_t____1(_______7____)n_rt_____l___n__r_ t__tt____x_ _____t___>___N_____t________tt_t______t_v__*__v_t_Jr_t____t___v____n_l___t____?_________nt_t___v_____________rn________t____f___ ___wn_y_\__ _ ___ _t__r t______c____v________l___ t__t_tf_t_t____t _l8n____t___________d6____0t _n_+__t_0x_t______+________g_ y___ ___________+_____ _____l_?3____ ttl_______+____4___NtA__________vl___ t___________vt___tt ___ ___________h_______nt_t_>____t_vtv___rlf___)t_t_________M_________t_g__t_____ tJ__hn____n__t____M__ttt_t_t tm____J___ _v_ttx_____A+t___l_______&__v___N___nm_____yt_t______t____v_______0r____t____t_______ __t___________t______________3__t___tte_/___t_v___ )______ 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00aaDD OO _ _ 1. Th,0 d__e_en_'a_on fo_ula is i_plest..-.. 3 7. F'ax) = 1/(2x) 9. _' (x) = ( 2 + _x ) / ( 2 _x )_ 63_ (+-_, O) 65l (- 1 t - 1)_ (l_ l) 67_ _) 2 69. 2 11. g', x) _ -2a/(a2 - x2) 13. _' (x) = e " ( l n x + 1 /x )_XefCi'et 3_7 0 Pa9e 237 1J. y _ (3x _ 2)J_x (x _ 1)I . 19. y' _ -x/(l + x)1. _ =_,b __',c --_'' 2 1. y = 1 + lnx,y ' ' _ 1 /x

1_ Y' = -2 S1n 20, Y'' = -4 COS 20 27. _'(_) _ 2x _(1 - x 2) - 2x 3 / ( 1 - x 2 ); (- 1, 1) 2 9. O9. hix) -_ x/ x' + 1, h''(x) -- 1/(x' + 1) ' / 2 31. x - ey _ e 33. _' (x ) _ cos x + l /x

. 15. y' = -_2x(l _ x2)^"/4,y'' -- _4(1 - x')-5/4(x' - 2) X 219. g'(t) = t2eS'(5t + 3), g''(t) = te5'(2St2 + 30t + 6) ' (x 2 + 1 ) 2 tanx x 2 + 121_ (a) _ix) -- 2 si_ x (cos x - l) = Sin 2X - 2 Sin x_ 39. y _ x~(_ x + l) 41. y ' = x ' ' ' X _cos x ln x + (s in x) /x Ir''(x) = 2(cos 2x - cOs x) 43. y ' = (ln x )~ (ln ln x + l / ln x ) 4 5. e 'x ' ~ ( _ x.. + 1 / x). 3(2x + 3)-'/2 47. y = 2x/(x ' + y ' - 2y)25. 1/_,3/(4_ ),27/ (16 _ ),405/ (64 _) 21_ -80 4g. (n )(x) _ (-l )n- ' (n - 1 ) t / (x - l ) ~

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25. 8o cm3/_' 27. O.132 ß/s 29. _/5 rays31. (a) 360 _Js _) O.096 radJs33. 1 6so/_ _ 296 _/_ 35. 7 _/4 _ 6.78 m/sExerc__es 3.1 t a page 2641, l48 OF; underes__ate 3. _lSS5; underes_' ate5. _(x)= 3x- 2 7. _(x)-- 1 - 2x9. _l-x__ 1.- -21x; 3__ . ' -_1__1xN_o.99s_= 1-x

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19. dy = -2/(_ - 1)' d_ 21. (a) dy = (2x + 2) _ _) 4

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Chapter 3 Review a page 267True-Falseauiz1. T_e 3. True 5. F_se 7. F_se 9. T_e11.True 13.F_seExercitet1. y' = 2(7x + l8)(x + 2)'(_ + 3)53. y' _ (9 - 2x)/(9 - 4x)3/2 5. y' -- -s_' x cos(cos x)1. ê'/"(l + 1/x) 9. y' = -(sec'_1 - x)/(2_1 - x)