Differentiable functions.

- Differentiability at one point.
- The linear approximation of a function at one point.
- First derivatives and tangents.
- Differentiability on an interval.
- The algebra of differentiable functions.
- One-sided derivative at one point.
- Continuity and differentiability.
- Two global theorems.
- Other applications of the (first) derivative.
- Higher degree derivatives.

- Minimax problems.
- Parametric curves in the plane.
- Curvature of a plane curve.
- L'Hopital's rule.
- Implicit differentiation.

Noah Dana-Picard 2007-12-28