Every differentiable function is continuous, but there are some continuous functions that are not differentiable.

Related videos:
* Differentiable implies continuous:    • 3.5 Differentiable implies continuous  
* Definition of differentiable:    • 3.1 Derivative as slope  
* Definition of continuous:    • 2.14 The definition of continuity  
* Playlist Derivatives:    • 3. Derivatives  


00:00 Introduction and definitions
00:47 Nondifferentiable definition
01:25 Corners
02:54 Vertical tangents
04:45 Vertical tangent conditions
05:48 CAUTION: tangent line vs. asymptote