Main content

# Parametric equations, polar coordinates, and vector-valued functions

AP Calc: CHA (BI), CHA‑3 (EU), CHA‑5 (EU), CHA‑6 (EU), FUN (BI), FUN‑3 (EU), FUN‑8 (EU)

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

Practice

Parametric equations differentiationGet 3 of 4 questions to level up!

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

Practice

Second derivatives (parametric functions)Get 3 of 4 questions to level up!

AP Calc: CHA (BI), CHA‑6 (EU), CHA‑6.B (LO), CHA‑6.B.1 (EK)

Learn

Practice

Parametric curve arc lengthGet 3 of 4 questions to level up!

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

Learn

Practice

Vector-valued functions differentiationGet 3 of 4 questions to level up!

Second derivatives (vector-valued functions)Get 3 of 4 questions to level up!

AP Calc: FUN (BI), FUN‑8 (EU), FUN‑8.B (LO), FUN‑8.B.1 (EK), FUN‑8.B.2 (EK)

Learn

Practice

Planar motion (differential calc)Get 3 of 4 questions to level up!

Motion along a curve (differential calc)Get 3 of 4 questions to level up!

Planar motion (with integrals)Get 3 of 4 questions to level up!

AP Calc: FUN (BI), FUN‑3 (EU), FUN‑3.G (LO), FUN‑3.G.1 (EK), FUN‑3.G.2 (EK)

Learn

Practice

Differentiate polar functionsGet 3 of 4 questions to level up!

Tangents to polar curvesGet 3 of 4 questions to level up!

AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)

Learn

Practice

Area bounded by polar curves introGet 3 of 4 questions to level up!

Area bounded by polar curvesGet 3 of 4 questions to level up!

AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)

Practice

Area between two polar curvesGet 3 of 4 questions to level up!

AP Calc: CHA (BI), CHA‑5 (EU), CHA‑5.D (LO), CHA‑5.D.1 (EK), CHA‑5.D.2 (EK)

Practice

Area with polar functions (calculator-active)Get 3 of 4 questions to level up!