calculus/materials/03-derivative-applications.md

id	title
mat-03-derivative-applications	Applications of derivatives

Applications of derivatives

Increasing decreasing and extrema

Use the sign of the derivative to determine where a function increases or decreases, and locate maxima or minima.

Optimization workflow

Typical steps:

1. define the objective function
2. compute derivative
3. find critical points
4. test candidates (including endpoints if relevant)
5. interpret the solution

Related rates idea

Differentiate an equation relating variables with respect to time to connect their rates of change.

Error and sensitivity

Derivatives quantify sensitivity: how much output changes per unit input.