Question Detail
Question
Find \( \frac{dy}{dx} \) if \( 3x^2 + 3y^2 = 2 \).
Correct Answer
Option A is the correct answer.
Detailed Explanation
( 6x + 6y \frac{dy}{dx} = 0 \implies 6y \frac{dy}{dx} = -6x \implies \frac{dy}{dx} = -\frac{x}{y} ).
Hint
Apply implicit differentiation to both terms containing variables.