Chapter 10 of 46

When Derivatives Exist — and When They Don't

Name: When Derivatives Exist — and When They Don't
Description: Continuity was about not breaking; differentiability is about not bending sharply. Corners, cusps, and vertical tangents.

Continuity was about not breaking; differentiability is about not bending sharply. Corners, cusps, and vertical tangents.

Free10–14 min

By the end

Each chapter closes with capabilities, not topics. Watch for these.

01Estimate derivatives from tables and graphs

02Explain why differentiability implies continuity and why the converse fails

03Identify points where a function is not differentiable