Common Core · AP Calculus AB
FUN-3.D
AP Calculus AB, Unit 3 — Calculate derivatives of implicitly defined functions.
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
- Differentiate y2, xy and similar terms with respect to x.
- Find dy/dx for a relation by implicit differentiation.
- Find the slope and the tangent line at a point on an implicit curve.
- Find where an implicit curve has a horizontal or vertical tangent.