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AP Calculus BC · 10 units · 111 topics

Score a 5 on AP Calculus BC.

Ten units reviewing change, accumulation, differential equations, parametric and polar analysis, and infinite series through conditions and connected representations.

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Study notes

Every AP Calculus BC unit, explained.

Unit 1 is free to read in full. Every other unit shows its first topic free; a 7-day trial opens the rest.

  1. Unit 1Limits and Continuity4–7% of the exam · 16 topicsFreeRead unit
  2. Unit 2Differentiation: Definition and Fundamental Properties4–7% of the exam · 10 topicsPreviewPreview
  3. Unit 3Differentiation: Composite, Implicit, and Inverse Functions4–7% of the exam · 6 topicsPreviewPreview
  4. Unit 4Contextual Applications of Differentiation6–9% of the exam · 7 topicsPreviewPreview
  5. Unit 5Analytical Applications of Differentiation10–15% of the exam · 12 topicsPreviewPreview
  6. Unit 6Integration and Accumulation of Change15–20% of the exam · 14 topicsPreviewPreview
  7. Unit 7Differential Equations5–10% of the exam · 9 topicsPreviewPreview
  8. Unit 8Applications of Integration5–10% of the exam · 13 topicsPreviewPreview
  9. Unit 9Parametric Equations, Polar Coordinates, and Vector-Valued Functions10–15% of the exam · 9 topicsPreviewPreview
  10. Unit 10Infinite Sequences and Series15–20% of the exam · 15 topicsPreviewPreview
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AP Calculus BC · Sample questions

1

Let ff be a continuous function on [2,6][2, 6] with f(2)=−3f(2) = -3 and f(6)=5f(6) = 5. Which of the following is guaranteed by the Intermediate Value Theorem?
FAQ

AP Calculus BC questions, answered.

What's on the AP Calculus BC Exam?
The AP Calculus BC Exam is 3h 10m long: Multiple choice (42 questions, 100 minutes, 50% of the score) and Free response (6 questions, 90 minutes, 50% of the score). These figures come from College Board's AP Calculus BC exam page.
Are these AP Calculus BC notes free?
Unit 1 is free to read in full, and every other unit shows its first topic free. A free 7-day trial opens all 10 units and the full-length practice tests.
How many units are in AP Calculus BC?
AP Calculus BC has 10 units: Unit 1, Limits and Continuity (4–7% of the exam); Unit 2, Differentiation: Definition and Fundamental Properties (4–7% of the exam); Unit 3, Differentiation: Composite, Implicit, and Inverse Functions (4–7% of the exam); Unit 4, Contextual Applications of Differentiation (6–9% of the exam); Unit 5, Analytical Applications of Differentiation (10–15% of the exam); Unit 6, Integration and Accumulation of Change (15–20% of the exam); Unit 7, Differential Equations (5–10% of the exam); Unit 8, Applications of Integration (5–10% of the exam); Unit 9, Parametric Equations, Polar Coordinates, and Vector-Valued Functions (10–15% of the exam); Unit 10, Infinite Sequences and Series (15–20% of the exam).
When is the AP Calculus BC Exam?
AP Exams are held over two weeks every May. College Board publishes the schedule for each year; the AP exam calendar lists the dates once they are announced.
How is the AP Calculus BC Exam scored?
AP Exams are scored from 1 to 5. The AP Calculus BC score calculator estimates your score from your results on each section.

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