If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Main content

Unit: Derivative applications

About this unit

Solve real world problems (and some pretty elaborate mathematical problems) using the power of differential calculus.

Linear approximation

Learn

Practice

Approximation with local linearity
4 questions

Rectilinear motion

Learn

Practice

Motion problems (differential calc)
4 questions

Planar motion

Learn

Practice

Planar motion (differential calc)
4 questions
Motion along a curve (differential calc)
4 questions

Related rates

Learn

Practice

Related rates intro
4 questions
Related rates (multiple rates)
4 questions
Related rates (Pythagorean theorem)
4 questions
Related rates (advanced)
4 questions

Optimization

Learn

Practice

Optimization
4 questions

Applied rates of change

Learn

Practice

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

Mean value theorem

Learn

Practice

Using the mean value theorem
4 questions

L'Hôpital's rule

Learn

Practice

L'Hôpital's rule: 0/0
4 questions
L’Hôpital’s rule (composite exponential functions)
4 questions

Review: Derivative applications

Learn

No videos or articles available in this lesson

Practice

Derivative applications challenge
4 questions