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IB DP Maths: AA SL復習筆記5.2.5 Concavity & Points of Inflection

Category: IB課程, 教材筆記, 福利干貨 Date: 2022年7月18日 下午4:51

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

ib-aa-sl-5-2-5-concave-diagram

 

Exam Tip

  • In an exam an easy way to remember the difference is:
    • Concave?down?is the shape of (the mouth of) a sad smiley?☹?
    • Concave up?is the shape of (the mouth of) a happy smiley?☺?

Worked Example

5-2-5-ib-sl-aa-only-we1-soltn-a

5-2-5-ib-sl-aa-only-we1-soltn-b

 

 

Points of Inflection

What is a point of inflection?

What are the conditions for a point of inflection?

ib-aa-sl-5-2-5-point-of-inflection-diagram

 

  • What about the first derivative, like with turning points?

How do I find the coordinates of a point of inflection?

Exam Tip

Worked Example

5-2-5-ib-sl-aa-only-we2-soltn

 

 

轉載自savemyexams

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