Question Detail
Question
Find \( dy/dx \) if \( xy + \sin y = 1 \).
Correct Answer
Option A is the correct answer.
Detailed Explanation
( (y + x y') + \cos y y' = 0 \implies y'(x + \cos y) = -y \implies y' = -y / (x + \cos y) ).
Hint
Recall the derivative of \( xy \) as \( y + x y' \).