BC_MAC2233_2010_0722

BC_MAC2233_2010_0722 - MAC 2233: Quiz 11 (Take —Hnme)...

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Unformatted text preview: MAC 2233: Quiz 11 (Take —Hnme) SHORT ANSWER. “TIRE the ward or phrase that best enmpletes each statement nr answers the question. Show all wm‘k CLEARLY in the space prnvided. Find the derivative. ‘v'oo :e'fi: HI): WWW” = .1 EL”; + {reqx‘flw 92:) w £00 “(:0 '1'" (I? QH'I‘ (+- Hui») AMT Purim.Hm E film-m 5” “’9 Twhffi H's. N“ w 19> at: (1—1. - <3e‘*"'+ 3e“ + reef Mixe- MULTIPLE CHOICE. Cheese the nne alternative that beat enmpletes the statement at answers the questinn. Find the derivative. in?" 1}}.-=En1x2+x .3 A1er2>< + 1 C} fixe-‘V‘ + 1 D} Sxe + I (a: re“ 2} y = Eve—le ._ I X - $3615“? I) ' ‘H- ‘25 L ‘ELH—I- ‘tfi - 98% h. -" _l—|-'—'_-"'|-..h_-_I_ (lax-“)1 (flex-H)?- . 4ek EX {291+ I]: 2e-"¢+ 1}2 Find Fix} fer the fnllnwing funetinn. 4; 95 3 aflnfi’rwi A} Sea l3} :11 C} 525 D} e5 Find f” {x} fur the fnllnwing funetinn. [ “1+; '3} finalize—43‘; C} em = are-4k D) em =—1ae—4r« Properties of Logarithms CONDENSED = EXPANDED 2* log“ g =10gaM —loga N Difference of Leg; Leg of :- Quefienf N (Le ef Te - In of befiem} (these properties are based on rules of exponents since logs = exponents) 1 b “ LA ' ’[y‘]- NIH-L it)! Sec. 5.1: AnTideriyoTiyes DefiniTion: Ffix) is on onTiderivoTiye of gflx) on on inTeryol if F'flx) = gtx) for all x volues in ThoT inTeryol. Performing onTideriyoTiyesi AnTiderivoTwes ore deTermined in The following order: 1. By reeogniTion [This is The deriyoTiye of whoT TuneTion?) 2. Power Rule for AnTideriyoTiyes (This is :1 reverse of The Power Rule Tor DeriyoTiyes) 3. SubsTiTuTion MeThod 4. InTegroTion by PorTs 5. Speeiol Approoehes (beyond The scope. of This course}. NoTe: If Two funeTions: fix) and QEX): differ by n eonsTonT only (ThoT is, if you subTroeT one from The oTher The resulT is o eonsTonT), Then They will hove The some deriyoTwe. Thus, if we Toke on onTideriyoTwe of The deriyoTive of eiTher fix) or gtx), we could geT eiTher funeTion. If we hove no oTher informoTion To indieoTe which TunoTion H is, we use on orbETrory eonsTonT C To represenT The eonsTonT of Tbs}. This C i colled The CONSTANT 0F INTEfiRATION. I J £3 inc/(Expex N 5%: Q13 J “like josh-7:23.31 +C AF'_I33|EJ.IILIS_2|IIII'EI_'I204g“: - 3."? - MEII'I HID“! IS 200'? 19:34:19 [B] The fellewing Rules are genemlizafiens ef the HIJtH‘e rules. 1. Constant Multiple Rule: Ft ruff;th = fi'flflc’é‘h‘ Example: jqeee==4jewe==4ex—C‘ 2. SumiDifferem-e Rule: JD‘U‘} — girflrit = J-flrrhit + jgbrjdx Example: “it: + are = [Exam — %tfx = I3 + lnlxl —C 3. DEliTflfi‘l’P of :I ['nnetent I {the = fer — C'. where I: is a cone-taut Speelalease: j-CI [it = C' (line'ng ekere It}; J's-nemmtmn. Example: jmw=1m—C 4. Simple Pflfi'fl‘ Rule: J .1"'.:'fit = 1 I341 + C (Add 1 t0 the exponent then divide by the new exponent) J'+1 E :1: a mple : Jtsrj — 3x2 — 11d? = _[x3ti~r+ Jixjcfi‘ — lair = 31] 1‘3 1— 3 t 3111'2+1—.e+ C 1 = $1?“ + 3 - $13 —.‘t - C' = 731:4 +35" —.‘t'+ C Ex. 5.1 Find The an’rider‘im’rive/indeflni’re inTegml. ...
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This note was uploaded on 02/15/2012 for the course MAC 2233 taught by Professor Staff during the Fall '10 term at Broward College.

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BC_MAC2233_2010_0722 - MAC 2233: Quiz 11 (Take —Hnme)...

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