国际高中的在校学生;
自学参加AP考试的学生;
课程内容考点解析,知识强化巩固
Chapter 1:Limits
(1) What is a Limit?
(2) Limits of Trigonometric Functions
(3)Review
Chapter 2:Continuity
(1) The Definition of Continuity
(2) Types of Discontinuities
(3) Review
Chapter 3:The Definition of the Derivative
(1)Deriving the Formula
(2)Differentiability
(3)Review
Chapter 4:Basic Differentiation
(1) Notation
(2)The Power Rule
(3)The Addition Rule
(4) Higher Order Derivatives
(5)The Product Rule
(6)The Quotient Rule
(7)The Chain Rule
(8)Derivatives of Trig Functions
(9)Graphical Derivatives
(10)Review
Chapter 5:Implicit Differentiation
(1)How to Do It
(2)Second Derivatives
(3)Review
Chapter 6:Basic Applications of the Derivative
(1)Equations of Tangent Lines and Normal Lines
(2)The Mean Value Theorem for Derivatives
(3) Rolle’s Theorem
(4) Review
Chapter 7:Maxima and Minima
(1) Applied Maxima and Minima Problems
(2)Curve Sketching
(3)Review
Chapter 8:Motion
(1)Related Rates
(2)Position, Velocity, and Acceleration
(3) Review
Chapter 9:Exponential and Logarithmic Functions, Part One
(1)The Derivative of ln x
(2)The Derivative of ex
(3)The Derivative of logax
(4)The Derivative of ax
(5) Review
Chapter 10:Other Topics in Differential Calculus
(1)The Derivative of an Inverse Function
(2)Derivatives of Parametric Functions
(3)L’Hôpital’s Rule
(4) Differentials
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