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# Unit 4: Contextual applications of differentiation

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## About this unit

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

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### 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!

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### 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 240 Mastery points

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Level up on all the skills in this unit and collect up to 1,400 Mastery points!#### Unit test

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