If \( \sqrt{y} = x + \sqrt{x^2 + 4} \), then what is \( \sqrt{x^2 + 4} \frac{dy}{dx} \) equal to ?
- A. \frac{y}{4}
- B. y
- C. 2y
- D. 4y ✓
Correct Answer: D. 4y
Explanation
Differentiating both sides implicitly and substituting the original expression for the square root term simplifies the equation to \( \sqrt{x^2+4} \frac{dy}{dx} = 4y \).
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