The gradient of f(x,y) = x²y + 3y is:

A (2xy, x²)

B (2xy, x² + 3)

C (x², 2xy + 3)

D (2x, y)

✓ Correct Answer: Option B

∇f = (∂f/∂x, ∂f/∂y) = (2xy, x² + 3).

💡 Why is B) the correct answer?

The correct answer to the question "The gradient of f(x,y) = x²y + 3y is:" is Option B: (2xy, x² + 3).

The other options — A) (2xy, x²), C) (x², 2xy + 3), D) (2x, y) — are incorrect for this FE Exam Prep question. As explained above: ∇f = (∂f/∂x, ∂f/∂y) = (2xy, x² + 3).

📚 About This FE Exam Prep Practice Question

This 2-level FE 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 FE Exam Prep practice test or use flashcards for spaced repetition review.

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The gradient of f(x,y) = x²y + 3y is:

✓ Correct Answer: Option B

📚 About This FE Exam Prep Practice Question

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