# 6 f ① partialdeiivntie 1 编导 数 ㄨ z fcxy 器

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6 f = partialdeiivnt.ie 1 编导 Z = fcxy , , egfcx.gl = x : fx Jyxn fyg : fy : 5 1 nxi fy : 2 2X2geg.fcxy.mx jitgz fj fcx ) Jyz2x4tofcyiixiz48zfczjizxgzt8ygifcx.gl xg-3xjfxx.fgg.fxy.fyxlfxgfyxlfxibgi-iixgfjd-6xgf.gg -_- 6 × 5 fxg 6 3 0 × 4 g 3 oxg -6 oxy tmgeut plane 切⾯ tangeutlineforacurvejflforasurfacelE4itj-7gatpo.int 11,3 , 811 切点 ) 公式 : Z-zo-fcxo.yoicx-xoltfglx.gl/y-yo)v-tn_g 切点 坐标 lxo.g.zoitfxlxoyol-8xlxn.gs 8 fylxo.y.li?g7Ix=i.y=3=-lzs8xy-Z=i3i-Zt8=8lx-l)+c-iicy-3)isfaug eutpla.ie
g. Z = h ( X - 6 g ) , poiutc7.li 0 1 z = lnlx-6gifxlxoyoiiglxngnfglxo.yoi-xl-i.nl lix-6g-zii3.expres.dz intemsfdxadgdzdxtdggz-dhgi.dz lnly416idxtx6-dy4.chainruleegizixg7-xg.it?+l,y=t2-l , 公式 = i. lj-zgxj.zttlxg6-xy.z.tt xiy t : Sinxosy , x = , y = 4 / t t t t 瓷器 ' a i ' lcosxco.gl Ǖ Hinxsiny ) ( -4 xy withtl.sn eg.t-lxyi.x-st.yisfusechainruktof.in d or icxyi-ftnxyic-zgxist.ge stat
515 t.SE ) 4545 ( s2t-sty4c-zs.tl t = 1 , 2 -_- guiicos0.r-st.o-F.fi nd , ( Homeworkj5.partidderivativewithimplicitfuuct.tn 对⽴ Ì expli.it y : , implicit fcxy ) = 0 , eggwsxixtj.fi nd 两边 同时 不打 x : 9 .co sxtgl-s.in x ) = 2 x + 4 1 9 wsx -2g ) = 2 xtgsnx : " ( qcosx-zyig9tailxgnxtxj.fi nd q.i-tjtagttanixiiqTy-n.it 2 1 8 y - 1 9 × Hg +2 ࡄ? ( 还有 , 期末
( ) = < , fg.fi 6. Gradientanddirectiondderiuatieliateofchangejegfcx.gs = ywscxyi.Finddirectionwlderivatireoffcxyat.pointlo.li indirect.tn 0 = ࡚? l < 1 . 1 > ) GradientD-f-f.ci , ffxfg-yl-sincxyyy.1.ws/xyyl-siny=c-y2sinxg,wslxy1-xysin np , ū isunitdirectionvector-j.is pointlo.li = < o . 1 > io , " , , ⻓度 , -.- tx-y-ii.it , i D ū f ⼆⼼ , >_< īǜ È gifcx.y.zsiizatpi9.li 0 1 directonvectorai.l.is D ū f = f - fx.fg.fzs-8xtgt.8.tn/tgtzi9.texdg. = 9 , y = 1 , Z = 0 = 172 +9 8 , 172 +9 9 , 172 +9 , i.is < 合成 D ū f = < i i i >_< q.i.is -.- , Findmaxandminiateofchaugefcx.gl = 6 sincxgipomax.at = 1 1 7 5 1 1 , indirect.in Of 1 应⽤题 , 不是 填空 minratei-llfll.in direct.in : a) directionisf-24.co >< - > max.ie = 1 1 f n = = 2 4 b) directionis-fi-44.co >< -07 minratei-llofnif.it
QFindlimitoffcx.gg , 7 ˋ lim 2 , DNES.net hexso resdtchangefromkkty = kx kisavariablegz.int 145 Alongx-a.is = o ? dongy-axsijio-g.in 0t-2i.DK/E0tyL=-L
Find ī eview : 学期 : n-P.io/.3Dcoordinat-RP ( 2 1 1 . 4 ) S C 2 . 1 . 5 ) / -0 L Q ( 3 . 3 . 4 ) R ( 4 . 3 . 2 ) vectorpiiQ-pici.2.co 7 pA : 1 2 - p = < 2 . 2 , -27 Norm 1 1 1 1 = - 0 = F 1 1 = JTT.ci Dotproductipi.PT/llxzt2X2tox-z)=6 ; " !