What is the chain rule in calculus?

A d/dx[f(g(x))] = f'(g(x)) × g'(x)

B d/dx[f(x) × g(x)] = f'(x)g(x) + f(x)g'(x)

C d/dx[f(x)/g(x)] = [f'g - fg']/g²

D d/dx[f(x) + g(x)] = f'(x) + g'(x)

✓ Correct Answer: Option A

The chain rule states that the derivative of a composite function f(g(x)) is f'(g(x)) multiplied by g'(x).

💡 Why is A) the correct answer?

The correct answer to the question "What is the chain rule in calculus?" is Option A: d/dx[f(g(x))] = f'(g(x)) × g'(x).

The other options — B) d/dx[f(x) × g(x)] = f'(x)g(x) + f(x)g'(x), C) d/dx[f(x)/g(x)] = [f'g - fg']/g², D) d/dx[f(x) + g(x)] = f'(x) + g'(x) — are incorrect for this IB Exam Prep question. As explained above: The chain rule states that the derivative of a composite function f(g(x)) is f'(g(x)) multiplied by g'(x).

📚 About This IB Exam Prep Practice Question

This 3-level IB Exam Prep question from the Mathematics 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 IB Exam Prep practice test or use flashcards for spaced repetition review.

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What is the chain rule in calculus?

✓ Correct Answer: Option A

📚 About This IB Exam Prep Practice Question

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