Common Core · AP Calculus AB
CHA-2.D
AP Calculus AB, Unit 2 — Estimate derivatives of a function at a point, from a table or a graph.
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 an average rate of change and simplify a difference quotient.
- Find a derivative from the limit definition.
- Estimate a derivative from a table of values or a graph, and recognise a limit as a derivative.
- Tell where a function is not differentiable, and why differentiability implies continuity.