What does it mean if f'(c) = 0?

A The function is undefined at c

B c is a critical point (possible max, min, or inflection)

C The function equals zero at c

D The function is always increasing

✓ Correct Answer: Option B

When the derivative equals zero, the point is a critical point where the function may have a local extremum.

💡 Why is B) the correct answer?

The correct answer to the question "What does it mean if f'(c) = 0?" is Option B: c is a critical point (possible max, min, or inflection).

The other options — A) The function is undefined at c, C) The function equals zero at c, D) The function is always increasing — are incorrect for this AP Exam Prep question. As explained above: When the derivative equals zero, the point is a critical point where the function may have a local extremum.

📚 About This AP Exam Prep Practice Question

This 2-level AP Exam Prep question from the AP Calculus topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free AP Exam Prep practice test or use flashcards for spaced repetition review.

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What does it mean if f'(c) = 0?

✓ Correct Answer: Option B

📚 About This AP Exam Prep Practice Question

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