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Unit: Contextual applications of differentiation

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
LIM (BI)
,
LIM‑4 (EU)
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Interpreting the meaning of the derivative in context

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.A (LO)
,
CHA‑3.A.1 (EK)
,
CHA‑3.A.2 (EK)
,
CHA‑3.A.3 (EK)

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Practice

Straight-line motion: connecting position, velocity, and acceleration

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.B (LO)
,
CHA‑3.B.1 (EK)

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Practice

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

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.C (LO)
,
CHA‑3.C.1 (EK)

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Practice

Quiz 1

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Introduction to related rates

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.D (LO)
,
CHA‑3.D.1 (EK)
,
CHA‑3.D.2 (EK)

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Practice

Solving related rates problems

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.E (LO)
,
CHA‑3.E.1 (EK)

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Practice

Quiz 2

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Approximating values of a function using local linearity and linearization

AP Calc:
CHA (BI)
,
CHA‑3 (EU)
,
CHA‑3.F (LO)
,
CHA‑3.F.1 (EK)

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Practice

Using L’Hôpital’s rule for finding limits of indeterminate forms

AP Calc:
LIM (BI)
,
LIM‑4 (EU)
,
LIM‑4.A (LO)
,
LIM‑4.A.1 (EK)
,
LIM‑4.A.2 (EK)

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Practice

Quiz 3

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Optional videos

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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.
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