What is the derivative of tan(x)?

A cot(x)

B sec²(x)

C -csc²(x)

D sin(x)/cos(x)

✓ Correct Answer: Option B

The derivative of tan(x) = sec²(x). This can be derived using the quotient rule on sin(x)/cos(x).

💡 Why is B) the correct answer?

The correct answer to the question "What is the derivative of tan(x)?" is Option B: sec²(x).

The other options — A) cot(x), C) -csc²(x), D) sin(x)/cos(x) — are incorrect for this AP Exam Prep question. As explained above: The derivative of tan(x) = sec²(x). This can be derived using the quotient rule on sin(x)/cos(x).

📚 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 is the derivative of tan(x)?

✓ Correct Answer: Option B

📚 About This AP Exam Prep Practice Question

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