derivatives product and quotient rule：衍生产品和商法则

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1、Derivatives:ProductandQuotientRuleProduct/QuotientRuleWorksheetI.ProductRuleII.QuotientRuleFindthederivativeofeach.1.2.3.4.5.6.7.8.9.Derivatives:ChainRuleChainRuleWorksheetI.PowerChainRuleII.ChainRuleofCompositeFunctionsIII.AdditionalDerivativesA.B.Findthederivativeofeach.1.2.3.

2、4.5.6.7.8.9.10.11.12.Derivatives:IncreasingandDecreasingIntervalsIncreasing/DecreasingFunctionsWorksheetI.CriticalNumbersLetfbedefinedatc.Iforisundefined,thencisacriticalnumberoff.II.IncreasingandDecreasingFunctionsLetbeacontinuousfunctionon[a,b]anddifferentiableon(a,b).A.Iffora

3、llxin(a,b),then_____________________________________B.Ifforallxin(a,b),then_____________________________________C.Ifforallxin(a,b),then_____________________________________III.TheFirstDerivativeTestLetcbeacriticalnumberofafunctionfonanopenintervalcontainingc.A.If________________

4、,thenf(c)isarelativemaximum.B.If________________,thenf(c)isarelativeminimumFindtheintervalsofincreaseanddecreaseforandidentifylocalextrema.3.5.5.Findthevertexoftheparabola24.Findtheequationofthetangentlineatthepoint.atx=0