AP-CALCBC-2.4

U2.4 Connecting Differentiability and Continuity

Prove and apply: differentiable at a ⟹ continuous at a. Recognize that the converse fails — continuous functions need not be differentiable. Identify the three failure modes: corner, cusp, vertical tangent.

What you'll do in this lesson

A voice-first session with the Crimsora tutor on U2.4 Connecting Differentiability and Continuity, then targeted practice and FRQs — with the tutor adapting to where you get stuck.