Question

If \( \sqrt{\frac{y}{x}} + 4\sqrt{\frac{x}{y}} = 4 \), then \( \frac{dy}{dx} \):

• A. \( xy \)
• B. \( \frac{x}{y} \)
• C. \( -4 \)
• D. \( 4 \)

Hint:

When solving equations with square roots, square both sides and simplify step by step. Use differentiation techniques like the product rule and chain rule to find the derivative accurately.