Chapter 05 · Derivatives
05.02
Differentiability
When does a derivative exist? One-sided derivatives, why differentiable implies continuous, and the corners, cusps, vertical tangents and breaks where the derivative fails.
About 35 minutes
You'll learn to
- →Compute one-sided derivatives and use them to decide differentiability
- →Prove and apply: differentiable implies continuous, but not the reverse
- →Recognize corners, cusps, vertical tangents and discontinuities
- →Choose constants so a piecewise function is differentiable