Question Detail
Question
The first derivative of ln(x²/(x²+1)) is
Correct Answer
Option A is the correct answer.
Detailed Explanation
Write ln(x²/(x²+1)) = 2ln x - ln(x²+1). Differentiating: 2/x - 2x/(x²+1) = [2(x²+1)-2x²]/[x(x²+1)] = 2/[x(x²+1)].
Hint
Split the log of a quotient into a difference of logs before differentiating.