antiderivative原函數(shù)arepresentation,usuallyinsymbolicform,ofanyfunctionwhosederivativeisagivenfunction.

tangent切線，斜率，正切alineoraplanethattouchesacurveorasurfaceatasinglepoint.

chainrule鏈式求導法thetheoremthatdefinesthemethodfortakingthederivativeofapositefunction.

concavedownward向下開口partofagraphresemblinganupsidedownbowl.

concaveupward向上開口partofagraphresemblingarightsideupbowl.

continuous連續(xù)beinginimmediateconnectionorspatialrelationship.

criticalpoint臨界點pointonthegraphwherethederivativeiseither0orundefined.

cylindricalshellmethod旋轉體積圓筒積分法techniqueforfindingthevolumeofasolidofrevolution.

definiteintegral定積分therepresentationofthedifferenceinvaluesofaprimitiveofagivenfunctionevaluatedattwodesignatedpoints.

derivative導數(shù)，求導，導函數(shù)thechangeofafunctionwithrespecttoaninfinitesimallysmallchangeintheindependentvariable,ortheslopeofthepoint'stangentline.

differentiable可導的，可微的afunctionwhosegraphiscurvethatissmoothandcontainsnodiscontinuitiesorcusps.

diskmethod旋轉體積圓盤法techniqueforfindingthevolumeofasolidofrevolutionwhenintegratingalongtheaxisofrevolution.

extremevaluetheorem極值理論guaranteesanabsolutemaxandanabsolutemin

firstderivativetest極值點、拐點的確定法determineswhetheraninflectionpointisaminimum,maximum,orneither.

higherorderderivatives高階導數(shù)，高階導函數(shù)anyderivativesbeyondthefirstderivative.

implicitdifferentiation隱函數(shù)求導、微分methodforfindingthederivativeofanimplicitlydefinedfunctionorrelationusingthechainrule.

indefiniteintegral不定積分anotherwayofsayingantiderivative.

instantaneousrateofchange瞬時牽連變化率、相關變化率rateofchangeataparticularmoment.

instantaneousvelocity瞬時速度rateatwhichanobjectismovingataparticularmoment.

integrationbyparts分部積分amethodofevaluatinganintegralbyuseoftheformula,∫udv=uv∫vdu.

limit極限valuethatafunctionapproachesasthedomainvariableapproachaspecificvalue.

meanvaluetheorem中值定理thetheoremthatthereisapointinacontinuouscurvewherethederivativeisequaltotheaveragederivativeoftheentirearc.

normalline法線linethatisata90degreeangle,perpendiculartoasurface.

point-slopeform直線方程點斜式formusedthemostwhenfindingtheequationofaline.

riemannsum黎曼積分methodforapproximatingthedefiniteintegral.

secondderivativetest用二階導數(shù)檢查是否是極大值點或極小值點determineswhetheracriticalpointisarelativeminimumormaximumusingthevalueofthesecondderivativeatthepoint.

u-substitutionU型變量代換integrationmethodthatinvolvesusingthechainruleinreverse.

trigonometricsubstitution三角函數(shù)變量代換substitutionoftrigonometricfunctionsforotherstoeliminateradicalsinintegrals.

washermethod旋轉體積的圓筒積分法similartothediskmethodbutusingwashersinsteadofdisks.

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