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1、第十一节变化率与导数、导数的计算一、导数的概念1.函数y=f(x)在x=x0处的导数(1)定义:称函数y=f(x)在x=x0处的瞬时变化率=为函数y=f(x)在x=x0处的导数,记作f′(x0)或y′
2、x=x0,即f′(x0)==.(2)几何意义:函数f(x)在点x0处的导数f′(x0)的几何意义是在曲线y=f(x)上点(x0,f(x0))处的切线的斜率(瞬时速度就是位移函数s(t)对时间t的导数).相应地,切线方程为y-f(x0)=f′(x0)(x-x0).2.函数f(x)的导函数称函数f′(x)=为f(x)的导函数.二、基本初等函数的导数公式原函数导函数f(x)=c
3、(c为常数)f′(x)=0f(x)=xn(n∈Q*)f′(x)=nxn-1f(x)=sinxf′(x)=cos_xf(x)=cosxf′(x)=-sin_xf(x)=axf′(x)=axln_af(x)=exf′(x)=exf(x)=logaxf′(x)=f(x)=lnxf′(x)=三、导数的运算法则在安全生产高压态势下,他由测量施工岗位转战到分公司安全管理工作andduediligenceevaluationsarticle22ndheadoffice,branch(jurisdiction),riskmanagement,marketingmanagementbra
4、nchwithintheDepartment'screditbusinesspersonassumedresponsibilityforthesupervisionandinspectionandduediligenceevaluations.Article23rd,HeadOffice,branches(jurisdiction),riskmanagement,MarketingManagementDepartmentthroughon-siteandoff-siteinspection,investigationreport,interviewswithinvest
5、igatorsforpre-loaninvestigationworkbywayofconductingsupervisionandinspection,qualityevaluationpre-loaninvestigationwork,andbasedontheevaluationresults,theimplementationofdiversitymanagement.24ththecontrolandinspection(a)theimplementationofthecreditsystem:thereisnobreachofcreditpolicyrela
6、tingtothegrantingofcreditandtheheadoffice;(B)dualcreditrating:timelinessofratings,whethertheprovisionsoftherating,ratingresultsareaccurate;(C)thesurveycontents:datacollectioniscomplete,reportwritingiscomprehensive,indicatorsanalysisisobjective,real,conclusionsandthefactsareconsistentandr
7、easonable;(D)doubleimplementationofinvestigationssystem:practicalimplementationofdoublesystem;(E)othersupervisionandinspectionofthecontents.25thduediligenceevaluationofficesandbranches(jurisdiction),riskmanagement,MarketingManagementDepartmentagreedtocarryoutpre-loaninvestigationsupervis
8、ionandinspectionwork,evaluatewhetherinvestigatorsduediligencetodeterminewhethertheexemptionshouldbe.Investigatorsshouldbecompatiblewith.Duediligenceassessmentshouldbebasedonthefactthat,followingtheprinciplesofobjectivity,impartialityandfairness.Article26thhead1.[f(x)±g(x)