极限limit 数列sequence of number 收敛convergence 收敛于a converge to a 发散divergent 极限的唯一性uniqueness of limits 收敛数列的有界性boundedness of a convergent sequence 子列subsequence 函数的极限limits of functions 函数当x趋于x0时的极限limit of functions as x approaches x0 左极限left limit 右极限right limit 单侧极限one-sided limits 水平渐近线horizontal asymptote 无穷小infinitesimal 无穷大infinity 铅直渐近线vertical asymptote 夹逼准则squeeze rule 单调数列monotonic sequence 高阶无穷小infinitesimal of higher order 低阶无穷小infinitesimal of lower order 同阶无穷小infinitesimal of the same order 作者：新少年特工2007-10-818：37 回复此发言 2高等数学翻译 等阶无穷小equivalent infinitesimal 函数的连续性continuity of a function 增量increment 函数在x0连续the function is continuous at x0 左连续left continuous 右连续right continuous 区间上的连续函数continuous function 函数在该区间上连续function is continuous on an interval 不连续点discontinuity point 第一类间断点discontinuity point of the first kind 第二类间断点discontinuity point of the second kind 初等函数的连续性continuity of the elementary functions 定义区间defined interval 最大值global maximum value(absolute maximum)
极限 limit 数列 sequence of number 收敛 convergence 收敛于 a converge to a 发散 divergent 极限的唯一性 uniqueness of limits 收敛数列的有界性 boundedness of a convergent sequence 子列 subsequence 函数的极限 limits of functions 函数 当 x 趋于 x0 时的极限 limit of functions as x approaches x0 左极限 left limit 右极限 right limit 单侧极限 one-sided limits 水平渐近线 horizontal asymptote 无穷小 infinitesimal 无穷大 infinity 铅直渐近线 vertical asymptote 夹逼准则 squeeze rule 单调数列 monotonic sequence 高阶无穷小 infinitesimal of higher order 低阶无穷小 infinitesimal of lower order 同阶无穷小 infinitesimal of the same order 作者： 新少年特工 2007-10-8 18:37 回复此发言 -------------------------------------------------------------------------------- 2 高等数学-翻译 等阶无穷小 equivalent infinitesimal 函数的连续性 continuity of a function 增量 increment 函数 在 x0 连续 the function is continuous at x0 左连续 left continuous 右连续 right continuous 区间上的连续函数 continuous function 函数 在该区间上连续 function is continuous on an interval 不连续点 discontinuity point 第一类间断点 discontinuity point of the first kind 第二类间断点 discontinuity point of the second kind 初等函数的连续性 continuity of the elementary functions 定义区间 defined interval 最大值 global maximum value (absolute maximum)
最小值global minimum value(absolute minimum) 零点定理the zero point theorem 介值定理intermediate value theorem 第二章导数与微分 Chapter2 Derivative and Differential 速度velocity 匀速运动uniform motion 平均速度average velocity 瞬时速度instantaneous velocity 圆的切线tangent line of a circle 切线tangent line 切线的斜率slope of the tangent line 位置函数position function 导数derivative 可导derivable 函数的变化率问题problem of the change rate of a function 导函数derived function 左导数left-hand derivative 右导数right-hand derivative 单侧导数one-sided derivatives 在闭区间【a,b】上可导is derivable on the closed interval[a,b] 切线方程tangent equation 角速度angular velocity 成本函数cost function 边际成本marginal cost 链式法则chain rule 隐函数implicit function 显函数explicit function 二阶函数second derivative 三阶导数third derivative 高阶导数nth derivative 莱布尼茨公式Leibniz formula 对数求导法log-derivative 参数方程parametric equation 相关变化率correlative change rata 微分differential 可微的differentiable 函数的微分differential of function 自变量的微分differential of independent variable 微商differential quotient 间接测量误差indirect measurement error 绝对误差absolute error 相对误差relative error
最小值 global minimum value (absolute minimum) 零点定理 the zero point theorem 介值定理 intermediate value theorem 第二章 导数与微分 Chapter2 Derivative and Differential 速度 velocity 匀速运动 uniform motion 平均速度 average velocity 瞬时速度 instantaneous velocity 圆的切线 tangent line of a circle 切线 tangent line 切线的斜率 slope of the tangent line 位置函数 position function 导数 derivative 可导 derivable 函数的变化率问题 problem of the change rate of a function 导函数 derived function 左导数 left-hand derivative 右导数 right-hand derivative 单侧导数 one-sided derivatives 在闭区间【a,b】上可导 is derivable on the closed interval [a,b] 切线方程 tangent equation 角速度 angular velocity 成本函数 cost function 边际成本 marginal cost 链式法则 chain rule 隐函数 implicit function 显函数 explicit function 二阶函数 second derivative 三阶导数 third derivative 高阶导数 nth derivative 莱布尼茨公式 Leibniz formula 对数求导法 log- derivative 参数方程 parametric equation 相关变化率 correlative change rata 微分 differential 可微的 differentiable 函数的微分 differential of function 自变量的微分 differential of independent variable 微商 differential quotient 间接测量误差 indirect measurement error 绝对误差 absolute error 相对误差 relative error