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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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