IB DP Maths: AA HL复习笔记5.2.6 Derivatives & Graphs
Derivatives & Graphs How are derivatives and graphs connected? asymptotes – vertical and horizontal intervals where the graph is increasing and decreasing intervals where the graph is concave d...
IB DP Maths: AA HL复习笔记5.2.5 Concavity & Points of Inflection
Concavity of a Function What is concavity? Concavity is the way in which a curve (or surface) bends Mathematically, CONCAVE DOWN is often called concave CONCAVE UP is often called convex Exam Tip I...
IB DP Maths: AA HL复习笔记5.2.4 Further Applications of Differentiation
Stationary Points & Turning Points What is the difference between a stationary point and a turning point? A stationary point is a point at which the gradient function is equal to zero The tange...
IB DP Maths: AA HL复习笔记5.2.3 Higher Order Derivatives
Second Order Derivatives What is the second order derivative of a function? If you differentiate the derivative of a function (i.e. differentiate the function a second time) you get the second orde...
IB DP Maths: AA HL复习笔记5.2.2 Techniques of Differentiation
Chain Rule What is the chain rule? How do I know when to use the chain rule? The chain rule is used when we are trying to differentiate composite functions “function of a function”How do I use the...
IB DP Maths: AA HL复习笔记5.2.1 Differentiating Special Functions
Differentiating Trig Functions How do I differentiate sin, cos and tan? Exam Tip As soon as you see a question involving differentiation and trigonometry put your GDC into radians mode Worked Examp...
IB DP Maths: AA HL复习笔记5.1.2 Applications of Differentiation
Increasing & Decreasing Functions What are increasing and decreasing functions? How do I find where functions are increasing, decreasing or stationary? To identify the intervals on which a func...
IB DP Maths: AA HL复习笔记5.1.1 Introduction to Differentiation
Introduction to Derivatives Before introducing a derivative, an understanding of a limit is helpful What is a limit? What might I be asked about limits? You may be asked to use your GDC to plot the...
IB DP Maths: AA HL复习笔记4.7.1 Probability Density Function
Calculating Probabilities using PDF A continuous random variable can take any value in an interval so is typically used when continuous quantities are involved (time, distance, weight, etc) What is...
