antiderivative原函数arepresentation,usuallyinsymbolicform,ofanyfunctionwhosederivativeisagivenfunction.
tangent切线，斜率，正切alineoraplanethattouchesacurveorasurfaceatasinglepoint.
chainrule链式求导法thetheoremthatdefinesthemethodfortakingthederivativeofapositefunction.
concavedownward向下开口partofagraphresemblinganupsidedownbowl.
concaveupward向上开口partofagraphresemblingarightsideupbowl.
continuous连续beinginimmediateconnectionorspatialrelationship.
criticalpoint临界点pointonthegraphwherethederivativeiseither0orundefined.
cylindricalshellmethod旋转体积圆筒积分法techniqueforfindingthevolumeofasolidofrevolution.
definiteintegral定积分therepresentationofthedifferenceinvaluesofaprimitiveofagivenfunctionevaluatedattwodesignatedpoints.
derivative导数，求导，导函数thechangeofafunctionwithrespecttoaninfinitesimallysmallchangeintheindependentvariable,ortheslopeofthepoint'stangentline.
differentiable可导的，可微的afunctionwhosegraphiscurvethatissmoothandcontainsnodiscontinuitiesorcusps.
diskmethod旋转体积圆盘法techniqueforfindingthevolumeofasolidofrevolutionwhenintegratingalongtheaxisofrevolution.
extremevaluetheorem极值理论guaranteesanabsolutemaxandanabsolutemin
firstderivativetest极值点、拐点的确定法determineswhetheraninflectionpointisaminimum,maximum,orneither.
higherorderderivatives高阶导数，高阶导函数anyderivativesbeyondthefirstderivative.
implicitdifferentiation隐函数求导、微分methodforfindingthederivativeofanimplicitlydefinedfunctionorrelationusingthechainrule.
indefiniteintegral不定积分anotherwayofsayingantiderivative.
instantaneousrateofchange瞬时牵连变化率、相关变化率rateofchangeataparticularmoment.
instantaneousvelocity瞬时速度rateatwhichanobjectismovingataparticularmoment.
integrationbyparts分部积分amethodofevaluatinganintegralbyuseoftheformula,∫udv=uv∫vdu.
limit极限valuethatafunctionapproachesasthedomainvariableapproachaspecificvalue.
meanvaluetheorem中值定理thetheoremthatthereisapointinacontinuouscurvewherethederivativeisequaltotheaveragederivativeoftheentirearc.
normalline法线linethatisata90degreeangle,perpendiculartoasurface.
point-slopeform直线方程点斜式formusedthemostwhenfindingtheequationofaline.
riemannsum黎曼积分methodforapproximatingthedefiniteintegral.
secondderivativetest用二阶导数检查是否是极大值点或极小值点determineswhetheracriticalpointisarelativeminimumormaximumusingthevalueofthesecondderivativeatthepoint.
u-substitutionU型变量代换integrationmethodthatinvolvesusingthechainruleinreverse.
trigonometricsubstitution三角函数变量代换substitutionoftrigonometricfunctionsforotherstoeliminateradicalsinintegrals.
washermethod旋转体积的圆筒积分法similartothediskmethodbutusingwashersinsteadofdisks.
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