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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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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.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)
AP Calc:
CHA (BI)
, CHA‑3 (EU)
, CHA‑3.B (LO)
, CHA‑3.B.1 (EK)
Learn
Practice
- Interpret motion graphsGet 3 of 4 questions to level up!
- Motion problems (differential calc)Get 3 of 4 questions to level up!
AP Calc:
CHA (BI)
, CHA‑3 (EU)
, CHA‑3.C (LO)
, CHA‑3.C.1 (EK)
Practice
- Rates of change in other applied contexts (non-motion problems)Get 3 of 4 questions to level up!
AP Calc:
CHA (BI)
, CHA‑3 (EU)
, CHA‑3.D (LO)
, CHA‑3.D.1 (EK)
, CHA‑3.D.2 (EK)
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!
AP Calc:
CHA (BI)
, CHA‑3 (EU)
, CHA‑3.E (LO)
, CHA‑3.E.1 (EK)
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!
AP Calc:
CHA (BI)
, CHA‑3 (EU)
, CHA‑3.F (LO)
, CHA‑3.F.1 (EK)
AP Calc:
LIM (BI)
, LIM‑4 (EU)
, LIM‑4.A (LO)
, LIM‑4.A.1 (EK)
, LIM‑4.A.2 (EK)
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!
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