derivatives homework：衍生的作业

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1、DerivativesHomeworkName:MyUHidnumber:Whohelpedyou?Whodidyouhelp?TurninthehomeworktotheassignmentstabinyourCourseWarefile.Asasinglepdffile.Thisisa160pointassignment.Thismaterialwillincludedinthefinal.Question110pointsWriteabriefillustratedessaydiscussingthelinkbet

2、weentheDifferenceQuotientandaslope.FinishwithaparagraphonthemeaningofthederivativefromtheGraph’spointofview.Besuretoincludeabriefdiscussionofincreasinganddecreasingaspartofthegraph’spointofview.EssayRules:nomorethan2pages,frontsideonly,1”margins,12pointtype–NOHAN

3、DWRITTENWORKwillbegraded.Properspellingandgrammarmustbeused.Youwillbegradedonstyle.Really.Illustrationsmayhavehandannotationsbutmusthavenicetechnologically-createdmainparts.AttachtheessayinbetweenthisproblemandQuestion2.Question220pointsGiven:Givethefollowingfact

4、saboutthisfunction:DomainRangeEndbehavior–showwitharrowsThexinterceptsinpointcoordinateformTheyinterceptinpointcoordinateformThederivative:Usethequadraticformulatofindzerosofthederivative,listthem,anddiscusstheimplicationsforthegraph.Usethe“ishsystem”andreportthe

5、mtoonedecimalplaceorleavethemasradicalsinexactform.Findtheequationofthetangentlineatx=5.Putthislineonyourgraphwhenyougettothatpartofthisproblem.Showyourworkhere:Equation:ATTACHthegraphofthisfunctiontothissheet.Showthetangentlineatx=5andwriteitsslopeontheline.Youm

6、aysketchthistangentlineinonyourgraphbyhandbutthegraphmustbeproducedusinggraphingtechnology.Use[-4,9]astheportionofthex-axisshowninyourgraph.Haveyourgraphillustrateinformationaboutturn-aroundpoints.Sketchinthetangentlinesattheturnaroundpoints…clearlyshowingwhatyou

7、knowaboutthem.Usethequadraticformulatofindthexvaluesoftheturn-aroundpoints–leaveinradicalformorwriteas1decimalplace“ish”s.Writeinthex-coordinatesoftheturnaroundpointsonyourgraphbyhand.Useintervalnotationtodescribewherethegraphisincreasinganddecreasing:Discusscont

8、inuity.Whereisthegraphcontinuous?Howdoyouknowthis?Question316pointsGiven:Usetechnologytosketchthisgraph.AttachthesketchinbetweenthisproblemandProblem4.Usethequ