Concavity ​
Tags
Cegep1
Mathematics
Word count
94 words
Reading time
1 minute
Property of a function over an interval
2nd degree of monotonicity
In a concave up / down function:
- Any tangent line is below / up.
- Its derivative is always increasing or decreasing.
Evaluation ​
To find the intervals of concavity:
- Find the domain of
. - Find and simplify
. - Find all inflection points of
. - Construct a sign table with the inflection points.