托马斯微积分课件21 The Derivatives as a Function.pptVIP

Chapter 2 Derivatives 2.3 Derivatives of Products, Quotients, and Negative Powers 2.1 The Derivative as a Function 2.1.1 Definition of Derivative 2.1.1 Definition of Derivative 2.1.2 Derivatives of Constants, Powers, Multiples and Sums 2.1.3 Differentiable on an Interval; One-Sided Derivatives One-Sided Derivatives Theorem. 函数 Example. 2.1.4 The Relation between Continuity and Differentiability 2.1.5 Second- and Higher-Order Derivatives Exercises P157 11, 15, 16, 17, 18; P158 21; P159 40(a)(b). * 目录 上页 下页 返回 结束 2.1 The Derivative as a Function 2.2 The Derivative as a Rate of Change 2.4 Derivatives of Trigonometric Functions 2.5 The Chain Rule and Parametric Equations 2.6 Implicit Differentiation 2.7 Related Rates 2.1.2 Derivatives of Constants, Powers, Multiples and Sums 2.1.3 Differentiable on an Interval; One-Sided Derivatives 2.1.4 The Relation between Continuity and Differentiability 2.1.5 Second- and Higher-Order Derivatives Notations: Domain Other Expressions 导函数与函数在某点导数 Two Corollaries: 在点 的某个右 邻域内 若极限 则称此极限值为 在 处的右 导数, 记作 即 (左) (左) 设函数 有定义, 存在, 在点 且 存在 简写为 可导的充分必要条件 是 __________________________________ Two Methods , 问 a 取何值时, 在 都存在 , 并求出 解: 显然该函数在 x 不等于 0处可导 . 而x = 0处 故 时 此时 在 都存在, __________________________________________ __________________________________________ * 目录 上页 下页 返回 结束 * * * *