AP Calculus ABChapter 10 of 46
When Derivatives Exist — and When They Don't
Not yet publishedplanned runtime 10–14 min
Continuity was about not breaking; differentiability is about not bending sharply. Corners, cusps, and vertical tangents.
What this chapter covers
- estimate derivatives from tables and graphs
- explain why differentiability implies continuity and why the converse fails
- identify points where a function is not differentiable