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1、导数应用题型与分析（Typesandanalysisofderivativeapplications）DerivativeapplicationOne.Reviewgoals:1.understandtheconceptofderivative,thederivativecanusethedefinitionofderivative.Defineandderivativederivativefunctiononapointoftheunderstandingoftheconceptofderivativefunction.Understandtheconcept
2、tangenttothecurve.Basedonunderstandingtheinstantaneousvelocityoftheabstractconceptoftherateofchange.2.rememberthebasicderivativeformula(C,X(Misrational),SiNx,cosx,e,a,LNX,logxderivative).Derivationrulemastertwofunctionfourcomputingthederivationruleofcompoundfunctionandderivative,will
3、asksomesimplefunctions,andcanusethederivativemonotoneintervalforthelargest,afunctionofthe(small)value,graspthebasicapplicationofthederivative.3.thederivationofthederivationruleofsum,differenceandproductoffunctionisunderstood,andthederivationruleofquotientoftwofunctionsismastered.Thed
4、erivativeofsomesimplefunctionscanbeobtainedbyusingthederivationruleofthesum,differenceandproductoffunctionandtheexistingderivativeformula.4.understandtheconceptofcompositefunction.Thecomplexprocessofafunctionisdecomposedorseveralfunctionsarecombined.Graspthederivationruleofcompositef
5、unction,andusetheruletosolvesomesimpleproblems.Two.Examinationrequirements:Toknowsomepracticalbackgroundofthederivativeconcept(suchasinstantaneousvelocity,acceleration,smoothcurvetangentslope),masterthedefinitionandderivativederivativefunctiononapointoftheunderstandingoftheconceptofd
6、erivativefunction.Rememberthebasicderivativeformulas(C,X(MSiNx,isarationalnumber),cos,x,e,a,LNX,logxderivatives).Graspthederivationruleoffourfunctionsoftwofunctionsandthederivationruleofcompoundfunction,thederivativeofsomesimplefunctionscanbeobtained.Weunderstandtherelationshipbetwee
7、nthemonotonicityofdifferentiablefunctionanditsderivativecanbeunderstood,innecessaryconditionextremumobtainedandsufficientconditions(differentnumberstoguidefunctionderivativeextremumpointsonbothsides),willfindsomepracticalproblems(generallyreferstoaunimodalfunction)ofthemaximumandmini
8、mumvalues.Th
