5 Steps to a 5: AP Calculus AB 2024 (2024)

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=YOURPERSONALIZEDSTUDYPROGRAM[:RTUIARRFEI)CustomizableStudyPlantracksyourdailygoals9GamesCenter°forpracticeinsparemoments——SEE©miosheiontsweeneyTwooI.PeerSupport[2].andstudytipsviasocialmedianNStudyPlanInteractiveLessonsee]coverentirebook10414/407%PracticeTestso————————————[Jerpmioibyr+designedtosimulatetherealthingPracticeQuestionsTa(Wrenn.miletobuildtestreadinessa©"rcOvptateComaStudyToolstofocusstudywhereE——mostneeded(c][c]Practice:NumberTheoryDigitalFlashcards©Trescases?AlltomemorizekeyconceptsAdvancedAnalytics[FF=.=_fromtheIntelligentReportDashboard—Study

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Copyright©2023,2022byMcGrawHill.Allrightsreserved.ExceptaspermittedundertheCopyrightActof1976,nopartofthispublicationmaybereproducedordistributedinanyformorbyanymeans,orstoredinadatabaseorretrievalsystem,withoutthepriorwrittenpermissionofpublisher.ISBN:978-1-26-535162-5MHID: 1-26-535162-7ThematerialinthiseBookalsoappearsintheprintversionofthistitle:ISBN:978-1-26-535107-6,MHID:1-26-535107-4.eBookconversionbycodeMantraVersion1.0Alltrademarksaretrademarksoftheirrespectiveowners.Ratherthanputatrademarksymbolaftereveryoccurrenceofatrademarkedname,weusenamesinaneditorialfashiononly,andtothebenefitofthetrademarkowner,withnointentionofinfringementofthetrademark.Wheresuchdesignationsappearinthisbook,theyhavebeenprintedwithinitialcaps.McGrawHilleBooksareavailableatspecialquantitydiscountstouseaspremiumsandsalespromotionsorforuseincorporatetrainingprograms.Tocontactarepresentative,pleasevisittheContactUspageatwww.mhprofessional.com.McGrawHill,theMcGrawHilllogo,5Stepstoa5,andrelatedtradedressaretrademarksorregisteredtrademarksofMcGrawHilland/oritsaffiliatesintheUnitedStatesandothercountriesandmaynotbeusedwithoutwrittenpermission.Allothertrademarksarethepropertyoftheirrespectiveowners.McGrawHillisnotassociatedwithanyproductorvendormentionedinthisbook.AP,AdvancedPlacementProgram,andCollegeBoardareregisteredtrademarksoftheCollegeBoard,whichwasnotinvolvedintheproductionof,anddoesnotendorse,thisproduct.

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PrefaceAcknowledgmentsAbouttheAuthorsIntroduction:TheFive-StepProgramSTEP1SetUpYourStudyPlan1WhatYouNeedtoKnowAbouttheAPCalculusABExam1.1WhatIsCoveredontheAPCalculusABExam?1.2WhatIstheFormatoftheAPCalculusABExam?1.3WhatAretheAdvancedPlacementExamGrades?HowIstheAPCalculusABExamGradeCalculated?1.4WhichGraphingCalculatorsAreAllowedfortheExam?CalculatorsandOtherDevicesNotAllowedfortheAPCalculusABExamOtherRestrictionsonCalculators2HowtoPlanYourTime2.1ThreeApproachestoPreparingfortheAPCalculusABExamOverviewoftheThreePlans2.2CalendarforEachPlanSummaryoftheThreeStudyPlansSTEP2DetermineYourTestReadiness3TakeaDiagnosticExam3.1GettingStarted!

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3.2DiagnosticTest3.3AnswerstoDiagnosticTest3.4SolutionstoDiagnosticTest3.5CalculateYourScoreShort-AnswerQuestionsAPCalculusABDiagnosticTestSTEP3DevelopStrategiesforSuccess4HowtoApproachEachQuestionType4.1TheMultiple-ChoiceQuestions4.2TheFree-ResponseQuestions4.3UsingaGraphingCalculator4.4TakingtheExamWhatDoINeedtoBringtotheExam?TipsforTakingtheExamSTEP4ReviewtheKnowledgeYouNeedtoScoreHigh5ReviewofPrecalculus5.1LinesSlopeofaLineEquationsofaLineParallelandPerpendicularLines5.2AbsoluteValuesandInequalitiesAbsoluteValuesInequalitiesandtheRealNumberLineSolvingAbsoluteValueInequalitiesSolvingPolynomialInequalitiesSolvingRationalInequalities5.3FunctionsDefinitionofaFunction

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OperationsonFunctionsInverseFunctionsTrigonometricandInverseTrigonometricFunctionsExponentialandLogarithmicFunctions5.4GraphsofFunctionsIncreasingandDecreasingFunctionsInterceptsandZerosOddandEvenFunctionsShifting,Reflecting,andStretchingGraphs5.5RapidReview5.6PracticeProblems5.7CumulativeReviewProblems5.8SolutionstoPracticeProblems5.9SolutionstoCumulativeReviewProblemsBigIdea1:Limits6LimitsandContinuity6.1TheLimitofaFunctionDefinitionandPropertiesofLimitsEvaluatingLimitsOne-SidedLimitsSqueezeTheorem6.2LimitsInvolvingInfinitiesInfiniteLimits(asx—a)LimitsatInfinity(asx—+o)HorizontalandVerticalAsymptotes6.3ContinuityofaFunctionContinuityofaFunctionataNumberContinuityofaFunctionoveranIntervalTheoremsonContinuity

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6.4RapidReview6.5PracticeProblems6.6CumulativeReviewProblems6.7SolutionstoPracticeProblems6.8SolutionstoCumulativeReviewProblemsBigIdea2:Derivatives7Differentiation7.1DerivativesofAlgebraicFunctionsDefinitionoftheDerivativeofaFunctionPowerRuleTheSum,Difference,Product,andQuotientRulesTheChainRule7.2DerivativesofTrigonometric,InverseTrigonometric,Exponential,andLogarithmicFunctionsDerivativesofTrigonometricFunctionsDerivativesofInverseTrigonometricFunctionsDerivativesofExponentialandLogarithmicFunctions7.3ImplicitDifferentiationProcedureforImplicitDifferentiation7.4ApproximatingaDerivative7.5DerivativesofInverseFunctions7.6HigherOrderDerivatives7.7L’Hépital’sRuleforIndeterminateForms7.8RapidReview7.9PracticeProblems7.10CumulativeReviewProblems7.11SolutionstoPracticeProblems7.12SolutionstoCumulativeReviewProblems8GraphsofFunctionsandDerivatives

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8.1Rolle’sTheorem,MeanValueTheorem,andExtremeValueTheoremRolle’sTheoremMeanValueTheoremExtremeValueTheorem8.2DeterminingtheBehaviorofFunctionsTestforIncreasingandDecreasingFunctionsFirstDerivativeTestandSecondDerivativeTestforRelativeExtremaTestforConcavityandPointsofInflection8.3SketchingtheGraphsofFunctionsGraphingwithoutCalculatorsGraphingwithCalculators8.4GraphsofDerivatives8.5RapidReview8.6PracticeProblems8.7CumulativeReviewProblems8.8SolutionstoPracticeProblems8.9SolutionstoCumulativeReviewProblems9ApplicationsofDerivatives9.1RelatedRateGeneralProcedureforSolvingRelatedRateProblemsCommonRelatedRateProblemsInvertedCone(WaterTank)ProblemShadowProblemAngleofElevationProblem9.2AppliedMaximumandMinimumProblemsGeneralProcedureforSolvingAppliedMaximumandMinimumProblemsDistanceProblem

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AreaandVolumeProblemsBusinessProblems9.3RapidReview9.4PracticeProblems9.5CumulativeReviewProblems9.6SolutionstoPracticeProblems9.7SolutionstoCumulativeReviewProblems10MoreApplicationsofDerivatives10.1TangentandNormalLinesTangentLinesNormalLines10.2LinearApproximationsTangentLineApproximation(orLinearApproximation)EstimatingthenthRootofaNumberEstimatingtheValueofaTrigonometricFunctionofanAngle10.3MotionAlongaLineInstantaneousVelocityandAccelerationVerticalMotionHorizontalMotion10.4RapidReview10.5PracticeProblems10.6CumulativeReviewProblems10.7SolutionstoPracticeProblems10.8SolutionstoCumulativeReviewProblemsBigIdea3:IntegralsandtheFundamentalTheoremsofCalculus11Integration11.1EvaluatingBasicIntegralsAntiderivativesandIntegrationFormulas

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