Main content

# Unit 4: Applications of derivatives

1,500 possible mastery points

Mastered

Proficient

Familiar

Attempted

Not started

Quiz

Unit test

## About this unit

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.### Learn

### Practice

- Interpret motion graphsGet 3 of 4 questions to level up!
- Motion problems (differential calc)Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

### Learn

### Practice

- Analyzing related rates problems: expressionsGet 3 of 4 questions to level up!
- Analyzing related rates problems: equationsGet 3 of 4 questions to level up!
- Differentiate related functionsGet 3 of 4 questions to level up!

### Learn

### Practice

- Related rates introGet 3 of 4 questions to level up!
- Related rates (multiple rates)Get 3 of 4 questions to level up!
- Related rates (Pythagorean theorem)Get 3 of 4 questions to level up!
- Related rates (advanced)Get 3 of 4 questions to level up!

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

### Learn

### Practice

- L'Hôpital's rule: 0/0Get 3 of 4 questions to level up!
- L'Hôpital's rule: ∞/∞Get 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

Up next for you:

Level up on all the skills in this unit and collect up to 1500 Mastery points!