Common Core · AP Calculus AB
FUN-1.B
AP Calculus AB, Unit 5 — Justify conclusions about functions by applying the Mean Value Theorem over an interval.
A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.
The skill that covers it
What a student should be able to do
- Find the critical numbers of a function.
- Find the intervals where a function increases and decreases from the sign of its derivative.
- Classify local extrema with the first derivative test, from a rule or a graph of the derivative.
- Find absolute extrema on a closed interval, and the point the Mean Value Theorem promises.