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CoursewareonDerivationMethodforCosmeticProfecontents目录IntroductiontoDerivativeMethodThebasicprinciplesofdifferentiationTheApplicationofDerivativeMethodinCosmeticProfessionalEnglishcontents目录PracticalPracticeofDerivativeMethodSummaryandReview01IntroductiontoDerivativeMethodDefinitionDerivativemethodisamathematicalanalysismethodusedtostudythetangentslopeofafunctionatacertainpointanditsmonotonicity,extremum,andotherpropertiesinacertaininterval.要点一要点二ExplanationThederivativemethodcanaccuratelydescribethelocalvariationtrendofafunctionatacertainpointandtheoverallvariationtrendofthefunctioninacertainintervalbytakingthederivativeofthefunction,thusprovidingimportantmathematicaltoolsforsolvingpracticalproblems.DefinitionTheapplicationscopeofderivationmethodFunctionmonotonicityjudgment:Byusingthesignofthederivativetodeterminethemonotonicityofafunction,someoptimizationproblemscanbesolved.Extremevalueproblem:Usingderivativestofindtheextremevalueofafunction,solvingoptimizationproblems.Thetangentproblemofacurve:Usingderivativestocalculatethetangentslopeofacurveandsolvegeometricproblemsofthecurve.Applicationsineconomics,finance,andotherfields:Derivativemethodsarealsowidelyusedineconomics,finance,andotherfields,suchasmarginalanalysis,elasticityanalysis,etc.AccuracyThederivativemethodcanaccuratelydescribethelocalvariationtrendofafunctionatacertainpointandtheoverallvariationtrendofthefunctioninacertaininterval.WidelyapplicableThederivativemethodnotonlyhasextensiveapplicationsinthefieldofmathematics,butalsoinfieldssuchaseconomicsandfinance.Efficientproblem-solvingDerivativemethodscanquicklysolveoptimizationandextremumproblems,improvingtheefficiencyofproblem-solving.AdvantagesofDerivativeMethods02ThebasicprinciplesofdifferentiationRoots:ThepartofthewordthatexpressesthebasicmeaningofthewordAffixes:Thepartofthewordthatmodifiesthemeaningoftheroot,andcanbedividedintoprefixandsuffixTherootandaffixestogetherformderivativewordsTherelationshipbetweenrootsandaffixesTheFormationofDerivativeWordsDerivativewordsareformedbyaddingaffixestorootsThemeaningofderivativewordsisusuallyrelatedtothemeaningoftheroot,butalsomayhaveacompletelydifferentmeaningPrefixesPrefixesarecommonlyaddedatthebeginningoftheroot,suchas"un-"in"unhappy","re-"in"rebuild"SuffixesSuffixesarecommonlyaddedattheendoftheroot,suchas"-ness"in"happiness","-tion"in"creation"Commonprefixesandsuffixes03TheApplicationofDerivativeMethodinCosmeticProfessionalEnglishDerivedwordsfromcommoncosmeticvocabularyMasterthederivativewordsofcommoncosmeticvocabularyUnderstandtherootsandaffixesofcommoncosmeticvocabularyLearningthewordformationofcommoncosmeticvocabularyMasterthespellingandpronunciationofcommoncosmeticvocabularySummarywordsSummarywordsSummarySummarywordsSummarySummarywordsSummarySummaryUnderstandingcomplexvocabularythroughdifferentiation01020304UnderstandingcomplexcosmeticvocabularythroughrootsandaffixesMasterthemeaningsandusageofcommoncosmeticvocabularyLearnhowtoinferthemeaningofcosmeticvocabularythroughcontextImprovingtheabilitytoreadandunderstandcosmeticsprofessionalliteratureMemorizingcosmeticvocabularythroughwordformationSummaryUsingwordrootsandaffixestomemorizecosmeticvocabularySummaryMemorizingcosmeticvocabularythroughassociativememorySummaryRegularreviewandconsolidationofmemorytopreventforgettingSummarySkillsformemorizingvocabularythroughdifferentiation04PracticalPracticeofDerivativeMethodSummarywordsMasteringthemethodofderivedaffixesDetaileddescriptionBasedonagivenrootword,constructanewwordbyaddingaprefixorsuffix.Forexample,giventherootword"act",theprefix"re-"(re)andsuffix"-ive"(active)canbeaddedtoformanewword"react"(reaction).Exercise1:Givearootword,addaprefixorsuffixtoformanewwordIdentifyingrootsandaffixesinvocabularySummarywordsIdentifywhichrootsandaffixesarepresentinagivenvocabulary.Forexample,in"unhappiness","happiness"istherootwordand"-ness"isthesuffix.DetaileddescriptionExercise2:IdentifyrootsandaffixesinagivenvocabularySummarywordsMemorizingandexpandingvocabularythroughderivationDetaileddescriptionUsingderivationmethod,memorizeandexpandrelevantvocabularythroughknownrootsandaffixes.Forexample,given"beauty",onecanrememberderivedwordssuchas"beautiful"and"beautiful".Exercise3:MemorizingandExpandingVocabularythroughDerivativeMethod05SummaryandReviewDerivativemethodisanimportanttoolforCosmeticsprofessionalstounderstandEnglishtermsandimprovetheirlanguageskillsIthelpsCosmeticsprofessionalstounderstandthemeaningandusageofEnglishwordsmoreaccuratelyandcomprehensivelyDerivativemethodcanalsohelpCosmeticsprofessionalstoexpandtheirvocabularyandimprovetheirreadingandwritingabilitiesTheImportanceandApplicationValueofDerivativeMethodCosmeticsprofessionalsshouldfirstlearnthebasicderivativerulesandformulas,andthengraduallyapplythemtopracticeCosmeticsprofessionalsshouldalsoreadmoreEnglishmaterials,specificallyprofessionalmaterials,toenhancetheirunderstandingofderivativemethodsTheyshouldalsopayattentiontothedifferentiationofwordsintheprocessoflearning,andtrytoanalyzeandsummarizetherulesofdifferentiationSuggestionsandTechniquesfor
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