Main content

# Contextual applications of differentiation

AP Calc: CHA (BI), CHA‑3 (EU), LIM (BI), LIM‑4 (EU)

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)

Learn

Practice

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

0/100 points

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!

0/100 points

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

0/100 points

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!

0/100 points

Level up on the above skills and collect up to 400 Mastery points

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!

0/100 points

Analyzing related rates problems: equationsGet 3 of 4 questions to level up!

0/100 points

Differentiate related functionsGet 3 of 4 questions to level up!

0/100 points

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!

0/100 points

Related rates (multiple rates)Get 3 of 4 questions to level up!

0/100 points

Related rates (Pythagorean theorem)Get 3 of 4 questions to level up!

0/100 points

Related rates (advanced)Get 3 of 4 questions to level up!

0/100 points

Level up on the above skills and collect up to 700 Mastery points

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

Learn

Practice

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

0/100 points

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!

0/100 points

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

0/100 points

Level up on the above skills and collect up to 300 Mastery points

Up next for you:

Level up on all the skills in this unit and collect up to 1400 Mastery points!#### 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.AP® is a registered trademark of the College Board, which has not reviewed this resource.