11 - Differentiability and Continuity

Does differentiability imply continuity and vice versa?

Practice

2.1 # 57,81,83,85

Vocabulary

Differentiable

Study Questions

1. What does the slope of the curve at a given point tell us about the curve?
2. What are the ways for a function NOT to be differentiable at a point?
3. What’s the connection between differentiability and smoothness of a curve?

Resources

1. Slide Deck: Lesson-11-Differentiability-and-Continuity