IB DP Maths: AA SL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
- 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
Points of Inflection
What is a point of inflection?
What are the conditions for a point of inflection?
What about the first derivative, like with turning points?
How do I find the coordinates of a point of inflection?
Exam Tip
Worked Example
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