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Chain Rule - 3.6 71g Chm RULE mama-no I)’(szJB'2‘ 7...

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Unformatted text preview: 3.6 71g Chm» RULE : mama-no» : I. )’ : (szJB '2‘ 7: 5m.“ : x54. 3xq+ 3x“! = ismxasx Y': 6x5} 14x34“ YI" '1 (-smzx * “51”) ._._ ax(x"+-1Xt+l) = -‘l (ccszx - SIMIX) = 6x “1“)" -.: {teas-Ix = 3 “Halt-1x) ~ . cos-2x (may 2.. -.-. 3 Lxlw) LXtJ'I)’ D . I I rmswnnrnfxmmm‘wvwmwlnv-v Wmnwfl w y : SiNJtLX) mmnmwmm. Y I = 605 Max) .u be ) mymnmwmmm‘lwmm‘mt‘amxmxmmrp—v-uuzumm ., BOTH nae Exams; or me "wane RULE ” MORE EXBHPLES : I- y - l. y = cos Aux) - swmnu'cx) .1. y -.- hm Aux) y’ = saczaox)u'cx) q, y : sec aux) : g . 3. Y = 60" M!) :9,» y’: -c$czucx)u’m ' =9 y’ = secuoxflnmucx)u'cx) => 5, y = csc .uw.) y': —cscuu)coiucx)«u't1) 11:5 GEMEIML cum» mus .- y: Puma) =7 y'=P’mnn)uix) wE‘u. L001! m 50:75 Exnnruss FIRST mvo THEN I‘LL my To awe You H REASON To BELtevE T’MT THIS Is TIME , l. y = .-I «350(3) I y’ = H (coscx’n : ‘Il~sm¢x’J cx’J’) = W-samx3x3x‘u : Max‘sm 0(3) 1 Q3 .1. y:(X-X§l) Y'= QBCXI-X+I)chxz-X+I)I .-. .23 LxEx+l)a(-2x-1) .L 3. S : {Hinmt '3 ( ‘1’7lt9nnt)a~ ds ‘3': , -é a: : ‘i’ll-l’flNJt) LHJflNfi) z: t‘uhmt) seoll, . Salt. ‘ am H. R = sec(+fl~$) 0.. T = sectJmsflnn Hans) (Jaws), : schmus )Jflnh‘nns) seals wE'LL Do sons I708? ConPLwnTED ExnanES SHORTLY, 807’ FIRST we 50601.0 my To umosflsmmo «my 17‘s TRUE , n CMEFUL Moo? (5 suRPmamsLy TRICKY so I'LL JUST my 70 ONE You I9 ”5950” To BELIEVE, X = Pu: ) 133(3)) wow, nssunuvc P am AL am: DIFFERENTMBLE , Fmexfln 43¢me (Hanna), 1' I!" —---—'—2"""—'—' 12-» h I n pluflfibfl- pmuu) «nah—aux) : I M ‘_______——--—-—— h—n MLI¢+h)-Mlx) h '3 9 l Haunt; )3) - Magma maul») - Ant) = m l:';wifi"::.::‘ , -—""—"""""‘ h *w 6.23123 - win 5 B H I Fuux) M'tX) Because M. DtFFERENTmBLE => 14. cownmuoos =9 AIX'Ih)—>ALX) As I, A; O. C CH» You SEE quRE THIS "PROOF " man mm mm) TROUBLE ,7 ) sonE nous EXBDPLES : .+xz. [‘7 I. PLX): (l-x‘) 1 IL L p'” _ an: Hx , — '7 ( '-¥I- ('.x; 1'7 (_____ ”at" )M (u- x‘nz.x)- (Hx‘M-Lx) U'X“ ( I'xl’L z 16 14 = ,7 (m: J ”Y _ Lexum") “4"" ‘- '“xtlt - u-x") '9 ii! .1, Fuvo dx" IF 7-..thrk) g = cxhnl'én': x(¥n~(§>)’4 hmtiflcxa’ : XSCCIL#)(#)’+ lanai-J at K p u «[ 3'2- LsecLL-fzn’at stel(#)(?'a)’] 4 seclszflfi') ’ L____J‘ THESE Two anneal. H “(252cc )LsecLJ- UH) SCCL'L)SCCL3‘E)1LH»L':E )(3‘6), Y3. X a. l J. _., - vsec(x)4n~(3'z)l-§'T) :z sec‘L'i'Hmt‘a'e) x3 3. Pump THE Banana» OF THE mNGENT LINE T0 THE GRAPH 0F 7:9“) = 3:07”); 07' x: 3.1,: 911,5) : Mx): 3(3co}‘x¢co+x)’) = ‘7qu (. csczx) = Jim”): cm"): :25) = -9 (Naif: 49 y—3: uecx- If) y = ~19x+1§§+3 cnmn RULE REPHRRSED : 7: PM.) awn u: a“) 251-91115. dx -dudx O " LEIBNITZ Nomnom ' ...
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