Question Detail
Question
Find \( dy/dx \) for \( y = (x^2+1)/(x^2-1) \).
Correct Answer
Option A is the correct answer.
Detailed Explanation
Quotient rule: ( [2x(x^2-1) - (x^2+1)(2x)] / (x^2-1)^2 = [2x^3 - 2x - 2x^3 - 2x] / (x^2-1)^2 = -4x / (x^2-1)^2 ).
Hint
Apply the quotient rule and simplify the numerator.