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Unit: Applications of derivatives

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Meaning of the derivative in context

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Interpreting the meaning of the derivative in contextGet 3 of 4 questions to level up!

Straight-line motion

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

Non-motion applications of derivatives

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Rates of change in other applied contexts (non-motion problems)Get 3 of 4 questions to level up!

Quiz 1

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Introduction to related rates

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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!

Solving related rates problems

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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!

Quiz 2

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Approximation with local linearity

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Approximation with local linearityGet 3 of 4 questions to level up!

L’Hôpital’s rule

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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!

L’Hôpital’s rule: composite exponential functions

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L’Hôpital’s rule (composite exponential functions)Get 3 of 4 questions to level up!

Quiz 3

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Unit test

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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.