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.

Main content

- Using the mean value theoremGet 3 of 4 questions to level up!
- Justification with the mean value theoremGet 3 of 4 questions to level up!

- Find critical pointsGet 3 of 4 questions to level up!

- Relative minima & maximaGet 3 of 4 questions to level up!

- Absolute minima & maxima (closed intervals)Get 3 of 4 questions to level up!
- Absolute minima & maxima (entire domain)Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 560 Mastery points

- Concavity introGet 3 of 4 questions to level up!
- Inflection points introGet 3 of 4 questions to level up!

- Analyze concavityGet 3 of 4 questions to level up!
- Find inflection pointsGet 3 of 4 questions to level up!

- Second derivative testGet 3 of 4 questions to level up!

- Justification using first derivativeGet 3 of 4 questions to level up!
- Justification using second derivativeGet 3 of 4 questions to level up!
- Connecting f, f', and f'' graphicallyGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 640 Mastery points

- OptimizationGet 3 of 4 questions to level up!

- Tangents to graphs of implicit relationsGet 3 of 4 questions to level up!

- No videos or articles available in this lesson

- Analyze functions (calculator-active)Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

Up next for you:#### Unit test

Level up on all the skills in this unit and collect up to 1800 Mastery points!