Contextual applications of differentiation

This course is a part of AP®︎ Calculus AB, a 10-course Topic series from Khan Academy.

Derivatives describe the rate of change of quantities. This becomes very useful when solving various problems that are related to rates of change in applied, real-world, situations. Also learn how to apply derivatives to approximate function values and find limits using L’Hôpital’s rule.

This course contains 8 segments:

Interpreting the meaning of the derivative in context

Straight-line motion: connecting position, velocity, and acceleration

Rates of change in other applied contexts (non-motion problems)

Introduction to related rates

Solving related rates problems

Approximating values of a function using local linearity and linearization

Using L’Hôpital’s rule for finding limits of indeterminate forms

Optional videos

Some things are not explicitly required by the AP Calculus AB course, but many teachers cover them and we also find them useful. We've gathered those optional videos here for your convenience.